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Finding the Third Proportional to 119,376 and 255,140

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Solution

The third proportional to 119,376 and 255,140 is: 545,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,376 : 255,140 = 255,140 : x
  2. Step 2: Convert to fraction form
    119,376/255,140 = 255,140/x
  3. Step 3: Cross multiply
    119,376x = 255,140 × 255,140
  4. Step 4: Simplify right side
    119,376x = 65,096,419,600
  5. Step 5: Solve for x
    x = 65,096,419,600/119,376
  6. Step 6: Final answer
    x = 545,305.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.