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Finding the Third Proportional to 119,240 and 252,696

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Solution

The third proportional to 119,240 and 252,696 is: 535,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,240 : 252,696 = 252,696 : x
  2. Step 2: Convert to fraction form
    119,240/252,696 = 252,696/x
  3. Step 3: Cross multiply
    119,240x = 252,696 × 252,696
  4. Step 4: Simplify right side
    119,240x = 63,855,268,416
  5. Step 5: Solve for x
    x = 63,855,268,416/119,240
  6. Step 6: Final answer
    x = 535,518.86

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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.