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Finding the Third Proportional to 228,348 and 351,414

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Solution

The third proportional to 228,348 and 351,414 is: 540,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,348 : 351,414 = 351,414 : x
  2. Step 2: Convert to fraction form
    228,348/351,414 = 351,414/x
  3. Step 3: Cross multiply
    228,348x = 351,414 × 351,414
  4. Step 4: Simplify right side
    228,348x = 123,491,799,396
  5. Step 5: Solve for x
    x = 123,491,799,396/228,348
  6. Step 6: Final answer
    x = 540,805.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.