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Finding the Third Proportional to 175,248 and 267,208

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Solution

The third proportional to 175,248 and 267,208 is: 407,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,248 : 267,208 = 267,208 : x
  2. Step 2: Convert to fraction form
    175,248/267,208 = 267,208/x
  3. Step 3: Cross multiply
    175,248x = 267,208 × 267,208
  4. Step 4: Simplify right side
    175,248x = 71,400,115,264
  5. Step 5: Solve for x
    x = 71,400,115,264/175,248
  6. Step 6: Final answer
    x = 407,423.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.