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Finding the Third Proportional to 161,518 and 240,698

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Solution

The third proportional to 161,518 and 240,698 is: 358,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,518 : 240,698 = 240,698 : x
  2. Step 2: Convert to fraction form
    161,518/240,698 = 240,698/x
  3. Step 3: Cross multiply
    161,518x = 240,698 × 240,698
  4. Step 4: Simplify right side
    161,518x = 57,935,527,204
  5. Step 5: Solve for x
    x = 57,935,527,204/161,518
  6. Step 6: Final answer
    x = 358,693.94

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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.