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Finding the Third Proportional to 156,471 and 212,550

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Solution

The third proportional to 156,471 and 212,550 is: 288,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471 : 212,550 = 212,550 : x
  2. Step 2: Convert to fraction form
    156,471/212,550 = 212,550/x
  3. Step 3: Cross multiply
    156,471x = 212,550 × 212,550
  4. Step 4: Simplify right side
    156,471x = 45,177,502,500
  5. Step 5: Solve for x
    x = 45,177,502,500/156,471
  6. Step 6: Final answer
    x = 288,727.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.