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Finding the Third Proportional to 169,887 and 375,981

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Solution

The third proportional to 169,887 and 375,981 is: 832,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,887 : 375,981 = 375,981 : x
  2. Step 2: Convert to fraction form
    169,887/375,981 = 375,981/x
  3. Step 3: Cross multiply
    169,887x = 375,981 × 375,981
  4. Step 4: Simplify right side
    169,887x = 141,361,712,361
  5. Step 5: Solve for x
    x = 141,361,712,361/169,887
  6. Step 6: Final answer
    x = 832,092.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.