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Finding the Third Proportional to 138,887 and 298,870

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Solution

The third proportional to 138,887 and 298,870 is: 643,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887 : 298,870 = 298,870 : x
  2. Step 2: Convert to fraction form
    138,887/298,870 = 298,870/x
  3. Step 3: Cross multiply
    138,887x = 298,870 × 298,870
  4. Step 4: Simplify right side
    138,887x = 89,323,276,900
  5. Step 5: Solve for x
    x = 89,323,276,900/138,887
  6. Step 6: Final answer
    x = 643,136.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.