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Finding the Third Proportional to 127,440 and 278,208

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Solution

The third proportional to 127,440 and 278,208 is: 607,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,440 : 278,208 = 278,208 : x
  2. Step 2: Convert to fraction form
    127,440/278,208 = 278,208/x
  3. Step 3: Cross multiply
    127,440x = 278,208 × 278,208
  4. Step 4: Simplify right side
    127,440x = 77,399,691,264
  5. Step 5: Solve for x
    x = 77,399,691,264/127,440
  6. Step 6: Final answer
    x = 607,342.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.