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Finding the Third Proportional to 120,822 and 284,271

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Solution

The third proportional to 120,822 and 284,271 is: 668,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,822 : 284,271 = 284,271 : x
  2. Step 2: Convert to fraction form
    120,822/284,271 = 284,271/x
  3. Step 3: Cross multiply
    120,822x = 284,271 × 284,271
  4. Step 4: Simplify right side
    120,822x = 80,810,001,441
  5. Step 5: Solve for x
    x = 80,810,001,441/120,822
  6. Step 6: Final answer
    x = 668,835.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.