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Finding the Third Proportional to 188,341 and 406,557

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Solution

The third proportional to 188,341 and 406,557 is: 877,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,341 : 406,557 = 406,557 : x
  2. Step 2: Convert to fraction form
    188,341/406,557 = 406,557/x
  3. Step 3: Cross multiply
    188,341x = 406,557 × 406,557
  4. Step 4: Simplify right side
    188,341x = 165,288,594,249
  5. Step 5: Solve for x
    x = 165,288,594,249/188,341
  6. Step 6: Final answer
    x = 877,602.83

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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.