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Finding the Third Proportional to 118,338 and 254,719

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Solution

The third proportional to 118,338 and 254,719 is: 548,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,338 : 254,719 = 254,719 : x
  2. Step 2: Convert to fraction form
    118,338/254,719 = 254,719/x
  3. Step 3: Cross multiply
    118,338x = 254,719 × 254,719
  4. Step 4: Simplify right side
    118,338x = 64,881,768,961
  5. Step 5: Solve for x
    x = 64,881,768,961/118,338
  6. Step 6: Final answer
    x = 548,275.02

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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.