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Finding the Third Proportional to 151,284 and 200,679.75

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Solution

The third proportional to 151,284 and 200,679.75 is: 266,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284 : 200,679.75 = 200,679.75 : x
  2. Step 2: Convert to fraction form
    151,284/200,679.75 = 200,679.75/x
  3. Step 3: Cross multiply
    151,284x = 200,679.75 × 200,679.75
  4. Step 4: Simplify right side
    151,284x = 40,272,362,060.06
  5. Step 5: Solve for x
    x = 40,272,362,060.06/151,284
  6. Step 6: Final answer
    x = 266,203.71

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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.