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Finding the Third Proportional to 127,387.13 and 260,302.50

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Solution

The third proportional to 127,387.13 and 260,302.50 is: 531,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,387.13 : 260,302.50 = 260,302.50 : x
  2. Step 2: Convert to fraction form
    127,387.13/260,302.50 = 260,302.50/x
  3. Step 3: Cross multiply
    127,387.13x = 260,302.50 × 260,302.50
  4. Step 4: Simplify right side
    127,387.13x = 67,757,391,506.25
  5. Step 5: Solve for x
    x = 67,757,391,506.25/127,387.13
  6. Step 6: Final answer
    x = 531,901.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.