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Finding the Third Proportional to 203,527 and 299,186

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Solution

The third proportional to 203,527 and 299,186 is: 439,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,527 : 299,186 = 299,186 : x
  2. Step 2: Convert to fraction form
    203,527/299,186 = 299,186/x
  3. Step 3: Cross multiply
    203,527x = 299,186 × 299,186
  4. Step 4: Simplify right side
    203,527x = 89,512,262,596
  5. Step 5: Solve for x
    x = 89,512,262,596/203,527
  6. Step 6: Final answer
    x = 439,805.35

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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.