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Finding the Third Proportional to 119,142 and 255,558

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Solution

The third proportional to 119,142 and 255,558 is: 548,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142 : 255,558 = 255,558 : x
  2. Step 2: Convert to fraction form
    119,142/255,558 = 255,558/x
  3. Step 3: Cross multiply
    119,142x = 255,558 × 255,558
  4. Step 4: Simplify right side
    119,142x = 65,309,891,364
  5. Step 5: Solve for x
    x = 65,309,891,364/119,142
  6. Step 6: Final answer
    x = 548,168.50

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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.