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Finding the Third Proportional to 182,840 and 282,548

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Solution

The third proportional to 182,840 and 282,548 is: 436,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,840 : 282,548 = 282,548 : x
  2. Step 2: Convert to fraction form
    182,840/282,548 = 282,548/x
  3. Step 3: Cross multiply
    182,840x = 282,548 × 282,548
  4. Step 4: Simplify right side
    182,840x = 79,833,372,304
  5. Step 5: Solve for x
    x = 79,833,372,304/182,840
  6. Step 6: Final answer
    x = 436,629.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.