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Finding the Third Proportional to 160,067.25 and 239,681.25

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Solution

The third proportional to 160,067.25 and 239,681.25 is: 358,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,067.25 : 239,681.25 = 239,681.25 : x
  2. Step 2: Convert to fraction form
    160,067.25/239,681.25 = 239,681.25/x
  3. Step 3: Cross multiply
    160,067.25x = 239,681.25 × 239,681.25
  4. Step 4: Simplify right side
    160,067.25x = 57,447,101,601.56
  5. Step 5: Solve for x
    x = 57,447,101,601.56/160,067.25
  6. Step 6: Final answer
    x = 358,893.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.