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Finding the Third Proportional to 151,937.25 and 282,189.75

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Solution

The third proportional to 151,937.25 and 282,189.75 is: 524,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,937.25 : 282,189.75 = 282,189.75 : x
  2. Step 2: Convert to fraction form
    151,937.25/282,189.75 = 282,189.75/x
  3. Step 3: Cross multiply
    151,937.25x = 282,189.75 × 282,189.75
  4. Step 4: Simplify right side
    151,937.25x = 79,631,055,005.06
  5. Step 5: Solve for x
    x = 79,631,055,005.06/151,937.25
  6. Step 6: Final answer
    x = 524,104.89

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.