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Finding the Third Proportional to 107,270.50 and 231,402

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Solution

The third proportional to 107,270.50 and 231,402 is: 499,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,270.50 : 231,402 = 231,402 : x
  2. Step 2: Convert to fraction form
    107,270.50/231,402 = 231,402/x
  3. Step 3: Cross multiply
    107,270.50x = 231,402 × 231,402
  4. Step 4: Simplify right side
    107,270.50x = 53,546,885,604
  5. Step 5: Solve for x
    x = 53,546,885,604/107,270.50
  6. Step 6: Final answer
    x = 499,176.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.