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Finding the Third Proportional to 142,488.75 and 222,359.50

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Solution

The third proportional to 142,488.75 and 222,359.50 is: 347,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488.75 : 222,359.50 = 222,359.50 : x
  2. Step 2: Convert to fraction form
    142,488.75/222,359.50 = 222,359.50/x
  3. Step 3: Cross multiply
    142,488.75x = 222,359.50 × 222,359.50
  4. Step 4: Simplify right side
    142,488.75x = 49,443,747,240.25
  5. Step 5: Solve for x
    x = 49,443,747,240.25/142,488.75
  6. Step 6: Final answer
    x = 347,001.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.