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Finding the Third Proportional to 230,034.75 and 349,191.75

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Solution

The third proportional to 230,034.75 and 349,191.75 is: 530,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034.75 : 349,191.75 = 349,191.75 : x
  2. Step 2: Convert to fraction form
    230,034.75/349,191.75 = 349,191.75/x
  3. Step 3: Cross multiply
    230,034.75x = 349,191.75 × 349,191.75
  4. Step 4: Simplify right side
    230,034.75x = 121,934,878,268.06
  5. Step 5: Solve for x
    x = 121,934,878,268.06/230,034.75
  6. Step 6: Final answer
    x = 530,071.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.