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Finding the Third Proportional to 124,656 and 270,344

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Solution

The third proportional to 124,656 and 270,344 is: 586,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,656 : 270,344 = 270,344 : x
  2. Step 2: Convert to fraction form
    124,656/270,344 = 270,344/x
  3. Step 3: Cross multiply
    124,656x = 270,344 × 270,344
  4. Step 4: Simplify right side
    124,656x = 73,085,878,336
  5. Step 5: Solve for x
    x = 73,085,878,336/124,656
  6. Step 6: Final answer
    x = 586,300.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.