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Finding the Third Proportional to 267,166 and 561,998

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Solution

The third proportional to 267,166 and 561,998 is: 1,182,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,166 : 561,998 = 561,998 : x
  2. Step 2: Convert to fraction form
    267,166/561,998 = 561,998/x
  3. Step 3: Cross multiply
    267,166x = 561,998 × 561,998
  4. Step 4: Simplify right side
    267,166x = 315,841,752,004
  5. Step 5: Solve for x
    x = 315,841,752,004/267,166
  6. Step 6: Final answer
    x = 1,182,192.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.