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Finding the Third Proportional to 149,719.50 and 306,424.13

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Solution

The third proportional to 149,719.50 and 306,424.13 is: 627,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 306,424.13 = 306,424.13 : x
  2. Step 2: Convert to fraction form
    149,719.50/306,424.13 = 306,424.13/x
  3. Step 3: Cross multiply
    149,719.50x = 306,424.13 × 306,424.13
  4. Step 4: Simplify right side
    149,719.50x = 93,895,744,382.02
  5. Step 5: Solve for x
    x = 93,895,744,382.02/149,719.50
  6. Step 6: Final answer
    x = 627,144.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.