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Finding the Third Proportional to 231,407.50 and 349,578

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Solution

The third proportional to 231,407.50 and 349,578 is: 528,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,407.50 : 349,578 = 349,578 : x
  2. Step 2: Convert to fraction form
    231,407.50/349,578 = 349,578/x
  3. Step 3: Cross multiply
    231,407.50x = 349,578 × 349,578
  4. Step 4: Simplify right side
    231,407.50x = 122,204,778,084
  5. Step 5: Solve for x
    x = 122,204,778,084/231,407.50
  6. Step 6: Final answer
    x = 528,093.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.