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Finding the Third Proportional to 169,587 and 368,703

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Solution

The third proportional to 169,587 and 368,703 is: 801,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,587 : 368,703 = 368,703 : x
  2. Step 2: Convert to fraction form
    169,587/368,703 = 368,703/x
  3. Step 3: Cross multiply
    169,587x = 368,703 × 368,703
  4. Step 4: Simplify right side
    169,587x = 135,941,902,209
  5. Step 5: Solve for x
    x = 135,941,902,209/169,587
  6. Step 6: Final answer
    x = 801,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.