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Finding the Third Proportional to 146,002.50 and 316,791

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Solution

The third proportional to 146,002.50 and 316,791 is: 687,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,002.50 : 316,791 = 316,791 : x
  2. Step 2: Convert to fraction form
    146,002.50/316,791 = 316,791/x
  3. Step 3: Cross multiply
    146,002.50x = 316,791 × 316,791
  4. Step 4: Simplify right side
    146,002.50x = 100,356,537,681
  5. Step 5: Solve for x
    x = 100,356,537,681/146,002.50
  6. Step 6: Final answer
    x = 687,361.78

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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.