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Finding the Third Proportional to 199,560 and 301,414

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Solution

The third proportional to 199,560 and 301,414 is: 455,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,560 : 301,414 = 301,414 : x
  2. Step 2: Convert to fraction form
    199,560/301,414 = 301,414/x
  3. Step 3: Cross multiply
    199,560x = 301,414 × 301,414
  4. Step 4: Simplify right side
    199,560x = 90,850,399,396
  5. Step 5: Solve for x
    x = 90,850,399,396/199,560
  6. Step 6: Final answer
    x = 455,253.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.