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Finding the Third Proportional to 231,363 and 315,186

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Solution

The third proportional to 231,363 and 315,186 is: 429,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,363 : 315,186 = 315,186 : x
  2. Step 2: Convert to fraction form
    231,363/315,186 = 315,186/x
  3. Step 3: Cross multiply
    231,363x = 315,186 × 315,186
  4. Step 4: Simplify right side
    231,363x = 99,342,214,596
  5. Step 5: Solve for x
    x = 99,342,214,596/231,363
  6. Step 6: Final answer
    x = 429,378.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.