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Finding the Third Proportional to 186,264 and 402,288

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Solution

The third proportional to 186,264 and 402,288 is: 868,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,264 : 402,288 = 402,288 : x
  2. Step 2: Convert to fraction form
    186,264/402,288 = 402,288/x
  3. Step 3: Cross multiply
    186,264x = 402,288 × 402,288
  4. Step 4: Simplify right side
    186,264x = 161,835,634,944
  5. Step 5: Solve for x
    x = 161,835,634,944/186,264
  6. Step 6: Final answer
    x = 868,850.85

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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.