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Finding the Third Proportional to 188,516 and 406,552

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Solution

The third proportional to 188,516 and 406,552 is: 876,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,516 : 406,552 = 406,552 : x
  2. Step 2: Convert to fraction form
    188,516/406,552 = 406,552/x
  3. Step 3: Cross multiply
    188,516x = 406,552 × 406,552
  4. Step 4: Simplify right side
    188,516x = 165,284,528,704
  5. Step 5: Solve for x
    x = 165,284,528,704/188,516
  6. Step 6: Final answer
    x = 876,766.58

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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.