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Finding the Third Proportional to 188,472.75 and 406,468.88

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Solution

The third proportional to 188,472.75 and 406,468.88 is: 876,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,472.75 : 406,468.88 = 406,468.88 : x
  2. Step 2: Convert to fraction form
    188,472.75/406,468.88 = 406,468.88/x
  3. Step 3: Cross multiply
    188,472.75x = 406,468.88 × 406,468.88
  4. Step 4: Simplify right side
    188,472.75x = 165,216,946,343.77
  5. Step 5: Solve for x
    x = 165,216,946,343.77/188,472.75
  6. Step 6: Final answer
    x = 876,609.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.