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Finding the Third Proportional to 203,506.17 and 299,162.11

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Solution

The third proportional to 203,506.17 and 299,162.11 is: 439,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.17 : 299,162.11 = 299,162.11 : x
  2. Step 2: Convert to fraction form
    203,506.17/299,162.11 = 299,162.11/x
  3. Step 3: Cross multiply
    203,506.17x = 299,162.11 × 299,162.11
  4. Step 4: Simplify right side
    203,506.17x = 89,497,967,685.70
  5. Step 5: Solve for x
    x = 89,497,967,685.70/203,506.17
  6. Step 6: Final answer
    x = 439,780.12

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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.