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Finding the Third Proportional to 142,498.13 and 222,373.13

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Solution

The third proportional to 142,498.13 and 222,373.13 is: 347,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,498.13 : 222,373.13 = 222,373.13 : x
  2. Step 2: Convert to fraction form
    142,498.13/222,373.13 = 222,373.13/x
  3. Step 3: Cross multiply
    142,498.13x = 222,373.13 × 222,373.13
  4. Step 4: Simplify right side
    142,498.13x = 49,449,806,722.27
  5. Step 5: Solve for x
    x = 49,449,806,722.27/142,498.13
  6. Step 6: Final answer
    x = 347,020.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.