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Finding the Third Proportional to 173,658 and 267,407

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Solution

The third proportional to 173,658 and 267,407 is: 411,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,658 : 267,407 = 267,407 : x
  2. Step 2: Convert to fraction form
    173,658/267,407 = 267,407/x
  3. Step 3: Cross multiply
    173,658x = 267,407 × 267,407
  4. Step 4: Simplify right side
    173,658x = 71,506,503,649
  5. Step 5: Solve for x
    x = 71,506,503,649/173,658
  6. Step 6: Final answer
    x = 411,766.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.