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Finding the Third Proportional to 162,792 and 244,017

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Solution

The third proportional to 162,792 and 244,017 is: 365,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,792 : 244,017 = 244,017 : x
  2. Step 2: Convert to fraction form
    162,792/244,017 = 244,017/x
  3. Step 3: Cross multiply
    162,792x = 244,017 × 244,017
  4. Step 4: Simplify right side
    162,792x = 59,544,296,289
  5. Step 5: Solve for x
    x = 59,544,296,289/162,792
  6. Step 6: Final answer
    x = 365,769.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.