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Finding the Third Proportional to 162,425 and 391,298

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Solution

The third proportional to 162,425 and 391,298 is: 942,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,425 : 391,298 = 391,298 : x
  2. Step 2: Convert to fraction form
    162,425/391,298 = 391,298/x
  3. Step 3: Cross multiply
    162,425x = 391,298 × 391,298
  4. Step 4: Simplify right side
    162,425x = 153,114,124,804
  5. Step 5: Solve for x
    x = 153,114,124,804/162,425
  6. Step 6: Final answer
    x = 942,675.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.