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Finding the Third Proportional to 182,864 and 242,710

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Solution

The third proportional to 182,864 and 242,710 is: 322,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,864 : 242,710 = 242,710 : x
  2. Step 2: Convert to fraction form
    182,864/242,710 = 242,710/x
  3. Step 3: Cross multiply
    182,864x = 242,710 × 242,710
  4. Step 4: Simplify right side
    182,864x = 58,908,144,100
  5. Step 5: Solve for x
    x = 58,908,144,100/182,864
  6. Step 6: Final answer
    x = 322,141.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.