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Finding the Third Proportional to 186,754 and 403,204

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Solution

The third proportional to 186,754 and 403,204 is: 870,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,754 : 403,204 = 403,204 : x
  2. Step 2: Convert to fraction form
    186,754/403,204 = 403,204/x
  3. Step 3: Cross multiply
    186,754x = 403,204 × 403,204
  4. Step 4: Simplify right side
    186,754x = 162,573,465,616
  5. Step 5: Solve for x
    x = 162,573,465,616/186,754
  6. Step 6: Final answer
    x = 870,522.00

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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.