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Finding the Third Proportional to 160,446 and 240,169.50

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Solution

The third proportional to 160,446 and 240,169.50 is: 359,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,446 : 240,169.50 = 240,169.50 : x
  2. Step 2: Convert to fraction form
    160,446/240,169.50 = 240,169.50/x
  3. Step 3: Cross multiply
    160,446x = 240,169.50 × 240,169.50
  4. Step 4: Simplify right side
    160,446x = 57,681,388,730.25
  5. Step 5: Solve for x
    x = 57,681,388,730.25/160,446
  6. Step 6: Final answer
    x = 359,506.56

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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.