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Finding the Third Proportional to 188,547 and 406,611

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Solution

The third proportional to 188,547 and 406,611 is: 876,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,547 : 406,611 = 406,611 : x
  2. Step 2: Convert to fraction form
    188,547/406,611 = 406,611/x
  3. Step 3: Cross multiply
    188,547x = 406,611 × 406,611
  4. Step 4: Simplify right side
    188,547x = 165,332,505,321
  5. Step 5: Solve for x
    x = 165,332,505,321/188,547
  6. Step 6: Final answer
    x = 876,876.88

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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.