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Finding the Third Proportional to 151,284 and 200,680

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Solution

The third proportional to 151,284 and 200,680 is: 266,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284 : 200,680 = 200,680 : x
  2. Step 2: Convert to fraction form
    151,284/200,680 = 200,680/x
  3. Step 3: Cross multiply
    151,284x = 200,680 × 200,680
  4. Step 4: Simplify right side
    151,284x = 40,272,462,400
  5. Step 5: Solve for x
    x = 40,272,462,400/151,284
  6. Step 6: Final answer
    x = 266,204.37

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