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Finding the Third Proportional to 131,523 and 203,423

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Solution

The third proportional to 131,523 and 203,423 is: 314,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,523 : 203,423 = 203,423 : x
  2. Step 2: Convert to fraction form
    131,523/203,423 = 203,423/x
  3. Step 3: Cross multiply
    131,523x = 203,423 × 203,423
  4. Step 4: Simplify right side
    131,523x = 41,380,916,929
  5. Step 5: Solve for x
    x = 41,380,916,929/131,523
  6. Step 6: Final answer
    x = 314,628.75

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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.