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Finding the Third Proportional to 118,708 and 252,859

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Solution

The third proportional to 118,708 and 252,859 is: 538,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,708 : 252,859 = 252,859 : x
  2. Step 2: Convert to fraction form
    118,708/252,859 = 252,859/x
  3. Step 3: Cross multiply
    118,708x = 252,859 × 252,859
  4. Step 4: Simplify right side
    118,708x = 63,937,673,881
  5. Step 5: Solve for x
    x = 63,937,673,881/118,708
  6. Step 6: Final answer
    x = 538,613.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.