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Finding the Third Proportional to 108,985.50 and 233,502.75

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Solution

The third proportional to 108,985.50 and 233,502.75 is: 500,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,985.50 : 233,502.75 = 233,502.75 : x
  2. Step 2: Convert to fraction form
    108,985.50/233,502.75 = 233,502.75/x
  3. Step 3: Cross multiply
    108,985.50x = 233,502.75 × 233,502.75
  4. Step 4: Simplify right side
    108,985.50x = 54,523,534,257.56
  5. Step 5: Solve for x
    x = 54,523,534,257.56/108,985.50
  6. Step 6: Final answer
    x = 500,282.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.