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Finding the Third Proportional to 169,202 and 267,732

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Solution

The third proportional to 169,202 and 267,732 is: 423,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,202 : 267,732 = 267,732 : x
  2. Step 2: Convert to fraction form
    169,202/267,732 = 267,732/x
  3. Step 3: Cross multiply
    169,202x = 267,732 × 267,732
  4. Step 4: Simplify right side
    169,202x = 71,680,423,824
  5. Step 5: Solve for x
    x = 71,680,423,824/169,202
  6. Step 6: Final answer
    x = 423,638.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.