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Finding the Third Proportional to 188,460.74 and 406,445.98

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Solution

The third proportional to 188,460.74 and 406,445.98 is: 876,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,460.74 : 406,445.98 = 406,445.98 : x
  2. Step 2: Convert to fraction form
    188,460.74/406,445.98 = 406,445.98/x
  3. Step 3: Cross multiply
    188,460.74x = 406,445.98 × 406,445.98
  4. Step 4: Simplify right side
    188,460.74x = 165,198,331,863.84
  5. Step 5: Solve for x
    x = 165,198,331,863.84/188,460.74
  6. Step 6: Final answer
    x = 876,566.30

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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.