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Finding the Third Proportional to 151,283.50 and 200,679.50

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Solution

The third proportional to 151,283.50 and 200,679.50 is: 266,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,283.50 : 200,679.50 = 200,679.50 : x
  2. Step 2: Convert to fraction form
    151,283.50/200,679.50 = 200,679.50/x
  3. Step 3: Cross multiply
    151,283.50x = 200,679.50 × 200,679.50
  4. Step 4: Simplify right side
    151,283.50x = 40,272,261,720.25
  5. Step 5: Solve for x
    x = 40,272,261,720.25/151,283.50
  6. Step 6: Final answer
    x = 266,203.93

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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.