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Finding the Third Proportional to 243,673.31 and 534,426.19

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Solution

The third proportional to 243,673.31 and 534,426.19 is: 1,172,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,673.31 : 534,426.19 = 534,426.19 : x
  2. Step 2: Convert to fraction form
    243,673.31/534,426.19 = 534,426.19/x
  3. Step 3: Cross multiply
    243,673.31x = 534,426.19 × 534,426.19
  4. Step 4: Simplify right side
    243,673.31x = 285,611,349,885.79
  5. Step 5: Solve for x
    x = 285,611,349,885.79/243,673.31
  6. Step 6: Final answer
    x = 1,172,107.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.