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Finding the Third Proportional to 131,382 and 203,820

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Solution

The third proportional to 131,382 and 203,820 is: 316,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382 : 203,820 = 203,820 : x
  2. Step 2: Convert to fraction form
    131,382/203,820 = 203,820/x
  3. Step 3: Cross multiply
    131,382x = 203,820 × 203,820
  4. Step 4: Simplify right side
    131,382x = 41,542,592,400
  5. Step 5: Solve for x
    x = 41,542,592,400/131,382
  6. Step 6: Final answer
    x = 316,196.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.