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Finding the Third Proportional to 186,924.38 and 411,214.13

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Solution

The third proportional to 186,924.38 and 411,214.13 is: 904,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,924.38 : 411,214.13 = 411,214.13 : x
  2. Step 2: Convert to fraction form
    186,924.38/411,214.13 = 411,214.13/x
  3. Step 3: Cross multiply
    186,924.38x = 411,214.13 × 411,214.13
  4. Step 4: Simplify right side
    186,924.38x = 169,097,056,599.52
  5. Step 5: Solve for x
    x = 169,097,056,599.52/186,924.38
  6. Step 6: Final answer
    x = 904,628.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.