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Finding the Third Proportional to 127,348 and 273,487

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Solution

The third proportional to 127,348 and 273,487 is: 587,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348 : 273,487 = 273,487 : x
  2. Step 2: Convert to fraction form
    127,348/273,487 = 273,487/x
  3. Step 3: Cross multiply
    127,348x = 273,487 × 273,487
  4. Step 4: Simplify right side
    127,348x = 74,795,139,169
  5. Step 5: Solve for x
    x = 74,795,139,169/127,348
  6. Step 6: Final answer
    x = 587,328.73

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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.