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Finding the Third Proportional to 255,750 and 372,380

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Solution

The third proportional to 255,750 and 372,380 is: 542,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,750 : 372,380 = 372,380 : x
  2. Step 2: Convert to fraction form
    255,750/372,380 = 372,380/x
  3. Step 3: Cross multiply
    255,750x = 372,380 × 372,380
  4. Step 4: Simplify right side
    255,750x = 138,666,864,400
  5. Step 5: Solve for x
    x = 138,666,864,400/255,750
  6. Step 6: Final answer
    x = 542,196.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.