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Finding the Third Proportional to 159,202.75 and 216,326.25

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Solution

The third proportional to 159,202.75 and 216,326.25 is: 293,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.75 : 216,326.25 = 216,326.25 : x
  2. Step 2: Convert to fraction form
    159,202.75/216,326.25 = 216,326.25/x
  3. Step 3: Cross multiply
    159,202.75x = 216,326.25 × 216,326.25
  4. Step 4: Simplify right side
    159,202.75x = 46,797,046,439.06
  5. Step 5: Solve for x
    x = 46,797,046,439.06/159,202.75
  6. Step 6: Final answer
    x = 293,946.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.