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Finding the Third Proportional to 230,374.50 and 343,785

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Solution

The third proportional to 230,374.50 and 343,785 is: 513,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,374.50 : 343,785 = 343,785 : x
  2. Step 2: Convert to fraction form
    230,374.50/343,785 = 343,785/x
  3. Step 3: Cross multiply
    230,374.50x = 343,785 × 343,785
  4. Step 4: Simplify right side
    230,374.50x = 118,188,126,225
  5. Step 5: Solve for x
    x = 118,188,126,225/230,374.50
  6. Step 6: Final answer
    x = 513,026.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.