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Finding the Third Proportional to 169,010 and 367,432

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Solution

The third proportional to 169,010 and 367,432 is: 798,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,010 : 367,432 = 367,432 : x
  2. Step 2: Convert to fraction form
    169,010/367,432 = 367,432/x
  3. Step 3: Cross multiply
    169,010x = 367,432 × 367,432
  4. Step 4: Simplify right side
    169,010x = 135,006,274,624
  5. Step 5: Solve for x
    x = 135,006,274,624/169,010
  6. Step 6: Final answer
    x = 798,806.43

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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.