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Finding the Third Proportional to 253,557 and 381,348

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Solution

The third proportional to 253,557 and 381,348 is: 573,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,557 : 381,348 = 381,348 : x
  2. Step 2: Convert to fraction form
    253,557/381,348 = 381,348/x
  3. Step 3: Cross multiply
    253,557x = 381,348 × 381,348
  4. Step 4: Simplify right side
    253,557x = 145,426,297,104
  5. Step 5: Solve for x
    x = 145,426,297,104/253,557
  6. Step 6: Final answer
    x = 573,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.