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Finding the Third Proportional to 203,516 and 299,176

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Solution

The third proportional to 203,516 and 299,176 is: 439,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,516 : 299,176 = 299,176 : x
  2. Step 2: Convert to fraction form
    203,516/299,176 = 299,176/x
  3. Step 3: Cross multiply
    203,516x = 299,176 × 299,176
  4. Step 4: Simplify right side
    203,516x = 89,506,278,976
  5. Step 5: Solve for x
    x = 89,506,278,976/203,516
  6. Step 6: Final answer
    x = 439,799.72

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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.