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Finding the Third Proportional to 142,987.50 and 304,463.25

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Solution

The third proportional to 142,987.50 and 304,463.25 is: 648,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,987.50 : 304,463.25 = 304,463.25 : x
  2. Step 2: Convert to fraction form
    142,987.50/304,463.25 = 304,463.25/x
  3. Step 3: Cross multiply
    142,987.50x = 304,463.25 × 304,463.25
  4. Step 4: Simplify right side
    142,987.50x = 92,697,870,600.56
  5. Step 5: Solve for x
    x = 92,697,870,600.56/142,987.50
  6. Step 6: Final answer
    x = 648,293.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.