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Finding the Third Proportional to 151,329.75 and 212,084.25

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Solution

The third proportional to 151,329.75 and 212,084.25 is: 297,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,329.75 : 212,084.25 = 212,084.25 : x
  2. Step 2: Convert to fraction form
    151,329.75/212,084.25 = 212,084.25/x
  3. Step 3: Cross multiply
    151,329.75x = 212,084.25 × 212,084.25
  4. Step 4: Simplify right side
    151,329.75x = 44,979,729,098.06
  5. Step 5: Solve for x
    x = 44,979,729,098.06/151,329.75
  6. Step 6: Final answer
    x = 297,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.