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Finding the Third Proportional to 147,060 and 233,691.75

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Solution

The third proportional to 147,060 and 233,691.75 is: 371,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,060 : 233,691.75 = 233,691.75 : x
  2. Step 2: Convert to fraction form
    147,060/233,691.75 = 233,691.75/x
  3. Step 3: Cross multiply
    147,060x = 233,691.75 × 233,691.75
  4. Step 4: Simplify right side
    147,060x = 54,611,834,018.06
  5. Step 5: Solve for x
    x = 54,611,834,018.06/147,060
  6. Step 6: Final answer
    x = 371,357.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.