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Finding the Third Proportional to 119,244 and 252,705

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Solution

The third proportional to 119,244 and 252,705 is: 535,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,244 : 252,705 = 252,705 : x
  2. Step 2: Convert to fraction form
    119,244/252,705 = 252,705/x
  3. Step 3: Cross multiply
    119,244x = 252,705 × 252,705
  4. Step 4: Simplify right side
    119,244x = 63,859,817,025
  5. Step 5: Solve for x
    x = 63,859,817,025/119,244
  6. Step 6: Final answer
    x = 535,539.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.