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Finding the Third Proportional to 118,416 and 254,400

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Solution

The third proportional to 118,416 and 254,400 is: 546,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416 : 254,400 = 254,400 : x
  2. Step 2: Convert to fraction form
    118,416/254,400 = 254,400/x
  3. Step 3: Cross multiply
    118,416x = 254,400 × 254,400
  4. Step 4: Simplify right side
    118,416x = 64,719,360,000
  5. Step 5: Solve for x
    x = 64,719,360,000/118,416
  6. Step 6: Final answer
    x = 546,542.36

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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.