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Finding the Third Proportional to 142,570.76 and 222,034.61

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Solution

The third proportional to 142,570.76 and 222,034.61 is: 345,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,570.76 : 222,034.61 = 222,034.61 : x
  2. Step 2: Convert to fraction form
    142,570.76/222,034.61 = 222,034.61/x
  3. Step 3: Cross multiply
    142,570.76x = 222,034.61 × 222,034.61
  4. Step 4: Simplify right side
    142,570.76x = 49,299,366,025.66
  5. Step 5: Solve for x
    x = 49,299,366,025.66/142,570.76
  6. Step 6: Final answer
    x = 345,788.76

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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.