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Finding the Third Proportional to 151,504 and 235,241

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Solution

The third proportional to 151,504 and 235,241 is: 365,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,504 : 235,241 = 235,241 : x
  2. Step 2: Convert to fraction form
    151,504/235,241 = 235,241/x
  3. Step 3: Cross multiply
    151,504x = 235,241 × 235,241
  4. Step 4: Simplify right side
    151,504x = 55,338,328,081
  5. Step 5: Solve for x
    x = 55,338,328,081/151,504
  6. Step 6: Final answer
    x = 365,259.85

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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.