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Finding the Third Proportional to 231,158 and 506,380

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Solution

The third proportional to 231,158 and 506,380 is: 1,109,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,158 : 506,380 = 506,380 : x
  2. Step 2: Convert to fraction form
    231,158/506,380 = 506,380/x
  3. Step 3: Cross multiply
    231,158x = 506,380 × 506,380
  4. Step 4: Simplify right side
    231,158x = 256,420,704,400
  5. Step 5: Solve for x
    x = 256,420,704,400/231,158
  6. Step 6: Final answer
    x = 1,109,287.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.