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Finding the Third Proportional to 160,643.25 and 239,211

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Solution

The third proportional to 160,643.25 and 239,211 is: 356,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,643.25 : 239,211 = 239,211 : x
  2. Step 2: Convert to fraction form
    160,643.25/239,211 = 239,211/x
  3. Step 3: Cross multiply
    160,643.25x = 239,211 × 239,211
  4. Step 4: Simplify right side
    160,643.25x = 57,221,902,521
  5. Step 5: Solve for x
    x = 57,221,902,521/160,643.25
  6. Step 6: Final answer
    x = 356,204.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.