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Finding the Third Proportional to 142,034.06 and 310,793.06

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Solution

The third proportional to 142,034.06 and 310,793.06 is: 680,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034.06 : 310,793.06 = 310,793.06 : x
  2. Step 2: Convert to fraction form
    142,034.06/310,793.06 = 310,793.06/x
  3. Step 3: Cross multiply
    142,034.06x = 310,793.06 × 310,793.06
  4. Step 4: Simplify right side
    142,034.06x = 96,592,327,698.13
  5. Step 5: Solve for x
    x = 96,592,327,698.13/142,034.06
  6. Step 6: Final answer
    x = 680,064.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.