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Finding the Third Proportional to 230,029.31 and 349,182.56

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Solution

The third proportional to 230,029.31 and 349,182.56 is: 530,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,029.31 : 349,182.56 = 349,182.56 : x
  2. Step 2: Convert to fraction form
    230,029.31/349,182.56 = 349,182.56/x
  3. Step 3: Cross multiply
    230,029.31x = 349,182.56 × 349,182.56
  4. Step 4: Simplify right side
    230,029.31x = 121,928,461,954.07
  5. Step 5: Solve for x
    x = 121,928,461,954.07/230,029.31
  6. Step 6: Final answer
    x = 530,056.19

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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.