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Finding the Third Proportional to 186,981.75 and 411,345

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Solution

The third proportional to 186,981.75 and 411,345 is: 904,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981.75 : 411,345 = 411,345 : x
  2. Step 2: Convert to fraction form
    186,981.75/411,345 = 411,345/x
  3. Step 3: Cross multiply
    186,981.75x = 411,345 × 411,345
  4. Step 4: Simplify right side
    186,981.75x = 169,204,709,025
  5. Step 5: Solve for x
    x = 169,204,709,025/186,981.75
  6. Step 6: Final answer
    x = 904,926.33

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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.