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Finding the Third Proportional to 230,040 and 337,324.50

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Solution

The third proportional to 230,040 and 337,324.50 is: 494,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,040 : 337,324.50 = 337,324.50 : x
  2. Step 2: Convert to fraction form
    230,040/337,324.50 = 337,324.50/x
  3. Step 3: Cross multiply
    230,040x = 337,324.50 × 337,324.50
  4. Step 4: Simplify right side
    230,040x = 113,787,818,300.25
  5. Step 5: Solve for x
    x = 113,787,818,300.25/230,040
  6. Step 6: Final answer
    x = 494,643.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.