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Finding the Third Proportional to 247,981.50 and 371,012.25

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Solution

The third proportional to 247,981.50 and 371,012.25 is: 555,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,981.50 : 371,012.25 = 371,012.25 : x
  2. Step 2: Convert to fraction form
    247,981.50/371,012.25 = 371,012.25/x
  3. Step 3: Cross multiply
    247,981.50x = 371,012.25 × 371,012.25
  4. Step 4: Simplify right side
    247,981.50x = 137,650,089,650.06
  5. Step 5: Solve for x
    x = 137,650,089,650.06/247,981.50
  6. Step 6: Final answer
    x = 555,082.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.