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Finding the Third Proportional to 162,406 and 238,686

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Solution

The third proportional to 162,406 and 238,686 is: 350,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,406 : 238,686 = 238,686 : x
  2. Step 2: Convert to fraction form
    162,406/238,686 = 238,686/x
  3. Step 3: Cross multiply
    162,406x = 238,686 × 238,686
  4. Step 4: Simplify right side
    162,406x = 56,971,006,596
  5. Step 5: Solve for x
    x = 56,971,006,596/162,406
  6. Step 6: Final answer
    x = 350,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.