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Finding the Third Proportional to 186,545 and 406,192

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Solution

The third proportional to 186,545 and 406,192 is: 884,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,545 : 406,192 = 406,192 : x
  2. Step 2: Convert to fraction form
    186,545/406,192 = 406,192/x
  3. Step 3: Cross multiply
    186,545x = 406,192 × 406,192
  4. Step 4: Simplify right side
    186,545x = 164,991,940,864
  5. Step 5: Solve for x
    x = 164,991,940,864/186,545
  6. Step 6: Final answer
    x = 884,461.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.