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Finding the Third Proportional to 186,624 and 252,288

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Solution

The third proportional to 186,624 and 252,288 is: 341,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,624 : 252,288 = 252,288 : x
  2. Step 2: Convert to fraction form
    186,624/252,288 = 252,288/x
  3. Step 3: Cross multiply
    186,624x = 252,288 × 252,288
  4. Step 4: Simplify right side
    186,624x = 63,649,234,944
  5. Step 5: Solve for x
    x = 63,649,234,944/186,624
  6. Step 6: Final answer
    x = 341,056

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.