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Finding the Third Proportional to 151,282 and 200,677

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Solution

The third proportional to 151,282 and 200,677 is: 266,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,282 : 200,677 = 200,677 : x
  2. Step 2: Convert to fraction form
    151,282/200,677 = 200,677/x
  3. Step 3: Cross multiply
    151,282x = 200,677 × 200,677
  4. Step 4: Simplify right side
    151,282x = 40,271,258,329
  5. Step 5: Solve for x
    x = 40,271,258,329/151,282
  6. Step 6: Final answer
    x = 266,199.93

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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.