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Finding the Third Proportional to 240,800 and 372,648

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Solution

The third proportional to 240,800 and 372,648 is: 576,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,800 : 372,648 = 372,648 : x
  2. Step 2: Convert to fraction form
    240,800/372,648 = 372,648/x
  3. Step 3: Cross multiply
    240,800x = 372,648 × 372,648
  4. Step 4: Simplify right side
    240,800x = 138,866,531,904
  5. Step 5: Solve for x
    x = 138,866,531,904/240,800
  6. Step 6: Final answer
    x = 576,688.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.