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Finding the Third Proportional to 163,910 and 244,817

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Solution

The third proportional to 163,910 and 244,817 is: 365,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,910 : 244,817 = 244,817 : x
  2. Step 2: Convert to fraction form
    163,910/244,817 = 244,817/x
  3. Step 3: Cross multiply
    163,910x = 244,817 × 244,817
  4. Step 4: Simplify right side
    163,910x = 59,935,363,489
  5. Step 5: Solve for x
    x = 59,935,363,489/163,910
  6. Step 6: Final answer
    x = 365,660.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.