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Finding the Third Proportional to 169,151 and 363,817

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Solution

The third proportional to 169,151 and 363,817 is: 782,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,151 : 363,817 = 363,817 : x
  2. Step 2: Convert to fraction form
    169,151/363,817 = 363,817/x
  3. Step 3: Cross multiply
    169,151x = 363,817 × 363,817
  4. Step 4: Simplify right side
    169,151x = 132,362,809,489
  5. Step 5: Solve for x
    x = 132,362,809,489/169,151
  6. Step 6: Final answer
    x = 782,512.72

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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.