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Finding the Third Proportional to 141,182 and 310,012

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Solution

The third proportional to 141,182 and 310,012 is: 680,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,182 : 310,012 = 310,012 : x
  2. Step 2: Convert to fraction form
    141,182/310,012 = 310,012/x
  3. Step 3: Cross multiply
    141,182x = 310,012 × 310,012
  4. Step 4: Simplify right side
    141,182x = 96,107,440,144
  5. Step 5: Solve for x
    x = 96,107,440,144/141,182
  6. Step 6: Final answer
    x = 680,734.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.