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Finding the Third Proportional to 125,167 and 269,998

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Solution

The third proportional to 125,167 and 269,998 is: 582,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,167 : 269,998 = 269,998 : x
  2. Step 2: Convert to fraction form
    125,167/269,998 = 269,998/x
  3. Step 3: Cross multiply
    125,167x = 269,998 × 269,998
  4. Step 4: Simplify right side
    125,167x = 72,898,920,004
  5. Step 5: Solve for x
    x = 72,898,920,004/125,167
  6. Step 6: Final answer
    x = 582,413.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.