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Finding the Third Proportional to 155,684 and 240,816

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Solution

The third proportional to 155,684 and 240,816 is: 372,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,684 : 240,816 = 240,816 : x
  2. Step 2: Convert to fraction form
    155,684/240,816 = 240,816/x
  3. Step 3: Cross multiply
    155,684x = 240,816 × 240,816
  4. Step 4: Simplify right side
    155,684x = 57,992,345,856
  5. Step 5: Solve for x
    x = 57,992,345,856/155,684
  6. Step 6: Final answer
    x = 372,500.36

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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.