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Finding the Third Proportional to 282,176 and 382,800

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Solution

The third proportional to 282,176 and 382,800 is: 519,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,176 : 382,800 = 382,800 : x
  2. Step 2: Convert to fraction form
    282,176/382,800 = 382,800/x
  3. Step 3: Cross multiply
    282,176x = 382,800 × 382,800
  4. Step 4: Simplify right side
    282,176x = 146,535,840,000
  5. Step 5: Solve for x
    x = 146,535,840,000/282,176
  6. Step 6: Final answer
    x = 519,306.53

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Why These Related Problems?

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