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Finding the Third Proportional to 162,806 and 348,972

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Solution

The third proportional to 162,806 and 348,972 is: 748,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,806 : 348,972 = 348,972 : x
  2. Step 2: Convert to fraction form
    162,806/348,972 = 348,972/x
  3. Step 3: Cross multiply
    162,806x = 348,972 × 348,972
  4. Step 4: Simplify right side
    162,806x = 121,781,456,784
  5. Step 5: Solve for x
    x = 121,781,456,784/162,806
  6. Step 6: Final answer
    x = 748,015.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.