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Finding the Third Proportional to 186,332 and 402,171

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Solution

The third proportional to 186,332 and 402,171 is: 868,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,332 : 402,171 = 402,171 : x
  2. Step 2: Convert to fraction form
    186,332/402,171 = 402,171/x
  3. Step 3: Cross multiply
    186,332x = 402,171 × 402,171
  4. Step 4: Simplify right side
    186,332x = 161,741,513,241
  5. Step 5: Solve for x
    x = 161,741,513,241/186,332
  6. Step 6: Final answer
    x = 868,028.64

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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.