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Finding the Third Proportional to 150,700.50 and 327,402

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Solution

The third proportional to 150,700.50 and 327,402 is: 711,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700.50 : 327,402 = 327,402 : x
  2. Step 2: Convert to fraction form
    150,700.50/327,402 = 327,402/x
  3. Step 3: Cross multiply
    150,700.50x = 327,402 × 327,402
  4. Step 4: Simplify right side
    150,700.50x = 107,192,069,604
  5. Step 5: Solve for x
    x = 107,192,069,604/150,700.50
  6. Step 6: Final answer
    x = 711,292.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.