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Finding the Third Proportional to 118,744 and 255,920

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Solution

The third proportional to 118,744 and 255,920 is: 551,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,744 : 255,920 = 255,920 : x
  2. Step 2: Convert to fraction form
    118,744/255,920 = 255,920/x
  3. Step 3: Cross multiply
    118,744x = 255,920 × 255,920
  4. Step 4: Simplify right side
    118,744x = 65,495,046,400
  5. Step 5: Solve for x
    x = 65,495,046,400/118,744
  6. Step 6: Final answer
    x = 551,565.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.