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Finding the Third Proportional to 164,042 and 267,862

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Solution

The third proportional to 164,042 and 267,862 is: 437,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042 : 267,862 = 267,862 : x
  2. Step 2: Convert to fraction form
    164,042/267,862 = 267,862/x
  3. Step 3: Cross multiply
    164,042x = 267,862 × 267,862
  4. Step 4: Simplify right side
    164,042x = 71,750,051,044
  5. Step 5: Solve for x
    x = 71,750,051,044/164,042
  6. Step 6: Final answer
    x = 437,388.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.