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Finding the Third Proportional to 180,878 and 266,092

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Solution

The third proportional to 180,878 and 266,092 is: 391,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878 : 266,092 = 266,092 : x
  2. Step 2: Convert to fraction form
    180,878/266,092 = 266,092/x
  3. Step 3: Cross multiply
    180,878x = 266,092 × 266,092
  4. Step 4: Simplify right side
    180,878x = 70,804,952,464
  5. Step 5: Solve for x
    x = 70,804,952,464/180,878
  6. Step 6: Final answer
    x = 391,451.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.