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Finding the Third Proportional to 127,351.50 and 273,495

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Solution

The third proportional to 127,351.50 and 273,495 is: 587,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,351.50 : 273,495 = 273,495 : x
  2. Step 2: Convert to fraction form
    127,351.50/273,495 = 273,495/x
  3. Step 3: Cross multiply
    127,351.50x = 273,495 × 273,495
  4. Step 4: Simplify right side
    127,351.50x = 74,799,515,025
  5. Step 5: Solve for x
    x = 74,799,515,025/127,351.50
  6. Step 6: Final answer
    x = 587,346.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.