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Finding the Third Proportional to 161,044 and 218,694

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Solution

The third proportional to 161,044 and 218,694 is: 296,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,044 : 218,694 = 218,694 : x
  2. Step 2: Convert to fraction form
    161,044/218,694 = 218,694/x
  3. Step 3: Cross multiply
    161,044x = 218,694 × 218,694
  4. Step 4: Simplify right side
    161,044x = 47,827,065,636
  5. Step 5: Solve for x
    x = 47,827,065,636/161,044
  6. Step 6: Final answer
    x = 296,981.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.