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Finding the Third Proportional to 239,987.25 and 514,129.50

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Solution

The third proportional to 239,987.25 and 514,129.50 is: 1,101,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,987.25 : 514,129.50 = 514,129.50 : x
  2. Step 2: Convert to fraction form
    239,987.25/514,129.50 = 514,129.50/x
  3. Step 3: Cross multiply
    239,987.25x = 514,129.50 × 514,129.50
  4. Step 4: Simplify right side
    239,987.25x = 264,329,142,770.25
  5. Step 5: Solve for x
    x = 264,329,142,770.25/239,987.25
  6. Step 6: Final answer
    x = 1,101,429.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.