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Finding the Third Proportional to 186,000 and 401,808

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Solution

The third proportional to 186,000 and 401,808 is: 868,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,000 : 401,808 = 401,808 : x
  2. Step 2: Convert to fraction form
    186,000/401,808 = 401,808/x
  3. Step 3: Cross multiply
    186,000x = 401,808 × 401,808
  4. Step 4: Simplify right side
    186,000x = 161,449,668,864
  5. Step 5: Solve for x
    x = 161,449,668,864/186,000
  6. Step 6: Final answer
    x = 868,008.97

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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.