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Finding the Third Proportional to 160,959 and 240,588

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Solution

The third proportional to 160,959 and 240,588 is: 359,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,959 : 240,588 = 240,588 : x
  2. Step 2: Convert to fraction form
    160,959/240,588 = 240,588/x
  3. Step 3: Cross multiply
    160,959x = 240,588 × 240,588
  4. Step 4: Simplify right side
    160,959x = 57,882,585,744
  5. Step 5: Solve for x
    x = 57,882,585,744/160,959
  6. Step 6: Final answer
    x = 359,610.74

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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.