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Finding the Third Proportional to 127,332 and 274,833

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Solution

The third proportional to 127,332 and 274,833 is: 593,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,332 : 274,833 = 274,833 : x
  2. Step 2: Convert to fraction form
    127,332/274,833 = 274,833/x
  3. Step 3: Cross multiply
    127,332x = 274,833 × 274,833
  4. Step 4: Simplify right side
    127,332x = 75,533,177,889
  5. Step 5: Solve for x
    x = 75,533,177,889/127,332
  6. Step 6: Final answer
    x = 593,198.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.