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Finding the Third Proportional to 251,172 and 377,320

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Solution

The third proportional to 251,172 and 377,320 is: 566,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,172 : 377,320 = 377,320 : x
  2. Step 2: Convert to fraction form
    251,172/377,320 = 377,320/x
  3. Step 3: Cross multiply
    251,172x = 377,320 × 377,320
  4. Step 4: Simplify right side
    251,172x = 142,370,382,400
  5. Step 5: Solve for x
    x = 142,370,382,400/251,172
  6. Step 6: Final answer
    x = 566,824.26

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