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Finding the Third Proportional to 171,778 and 267,483

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Solution

The third proportional to 171,778 and 267,483 is: 416,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,778 : 267,483 = 267,483 : x
  2. Step 2: Convert to fraction form
    171,778/267,483 = 267,483/x
  3. Step 3: Cross multiply
    171,778x = 267,483 × 267,483
  4. Step 4: Simplify right side
    171,778x = 71,547,155,289
  5. Step 5: Solve for x
    x = 71,547,155,289/171,778
  6. Step 6: Final answer
    x = 416,509.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.