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Finding the Third Proportional to 162,394.88 and 391,224.94

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Solution

The third proportional to 162,394.88 and 391,224.94 is: 942,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,394.88 : 391,224.94 = 391,224.94 : x
  2. Step 2: Convert to fraction form
    162,394.88/391,224.94 = 391,224.94/x
  3. Step 3: Cross multiply
    162,394.88x = 391,224.94 × 391,224.94
  4. Step 4: Simplify right side
    162,394.88x = 153,056,951,721.88
  5. Step 5: Solve for x
    x = 153,056,951,721.88/162,394.88
  6. Step 6: Final answer
    x = 942,498.66

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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.