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Finding the Third Proportional to 188,470.13 and 406,463.06

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Solution

The third proportional to 188,470.13 and 406,463.06 is: 876,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,470.13 : 406,463.06 = 406,463.06 : x
  2. Step 2: Convert to fraction form
    188,470.13/406,463.06 = 406,463.06/x
  3. Step 3: Cross multiply
    188,470.13x = 406,463.06 × 406,463.06
  4. Step 4: Simplify right side
    188,470.13x = 165,212,221,176.88
  5. Step 5: Solve for x
    x = 165,212,221,176.88/188,470.13
  6. Step 6: Final answer
    x = 876,596.34

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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.