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Finding the Third Proportional to 203,491 and 299,147.50

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Solution

The third proportional to 203,491 and 299,147.50 is: 439,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,491 : 299,147.50 = 299,147.50 : x
  2. Step 2: Convert to fraction form
    203,491/299,147.50 = 299,147.50/x
  3. Step 3: Cross multiply
    203,491x = 299,147.50 × 299,147.50
  4. Step 4: Simplify right side
    203,491x = 89,489,226,756.25
  5. Step 5: Solve for x
    x = 89,489,226,756.25/203,491
  6. Step 6: Final answer
    x = 439,769.95

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Why These Related Problems?

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