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Finding the Third Proportional to 119,748.38 and 255,757.50

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Solution

The third proportional to 119,748.38 and 255,757.50 is: 546,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,748.38 : 255,757.50 = 255,757.50 : x
  2. Step 2: Convert to fraction form
    119,748.38/255,757.50 = 255,757.50/x
  3. Step 3: Cross multiply
    119,748.38x = 255,757.50 × 255,757.50
  4. Step 4: Simplify right side
    119,748.38x = 65,411,898,806.25
  5. Step 5: Solve for x
    x = 65,411,898,806.25/119,748.38
  6. Step 6: Final answer
    x = 546,244.56

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Why These Related Problems?

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