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Finding the Third Proportional to 188,469.28 and 406,461.38

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Solution

The third proportional to 188,469.28 and 406,461.38 is: 876,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469.28 : 406,461.38 = 406,461.38 : x
  2. Step 2: Convert to fraction form
    188,469.28/406,461.38 = 406,461.38/x
  3. Step 3: Cross multiply
    188,469.28x = 406,461.38 × 406,461.38
  4. Step 4: Simplify right side
    188,469.28x = 165,210,849,366.89
  5. Step 5: Solve for x
    x = 165,210,849,366.89/188,469.28
  6. Step 6: Final answer
    x = 876,592.98

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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.