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Finding the Third Proportional to 159,434 and 243,389

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Solution

The third proportional to 159,434 and 243,389 is: 371,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,434 : 243,389 = 243,389 : x
  2. Step 2: Convert to fraction form
    159,434/243,389 = 243,389/x
  3. Step 3: Cross multiply
    159,434x = 243,389 × 243,389
  4. Step 4: Simplify right side
    159,434x = 59,238,205,321
  5. Step 5: Solve for x
    x = 59,238,205,321/159,434
  6. Step 6: Final answer
    x = 371,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.