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Finding the Third Proportional to 119,270.63 and 252,761.25

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Solution

The third proportional to 119,270.63 and 252,761.25 is: 535,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,270.63 : 252,761.25 = 252,761.25 : x
  2. Step 2: Convert to fraction form
    119,270.63/252,761.25 = 252,761.25/x
  3. Step 3: Cross multiply
    119,270.63x = 252,761.25 × 252,761.25
  4. Step 4: Simplify right side
    119,270.63x = 63,888,249,501.56
  5. Step 5: Solve for x
    x = 63,888,249,501.56/119,270.63
  6. Step 6: Final answer
    x = 535,657.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.