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Finding the Third Proportional to 70,209.75 and 152,324.25

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Solution

The third proportional to 70,209.75 and 152,324.25 is: 330,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.75 : 152,324.25 = 152,324.25 : x
  2. Step 2: Convert to fraction form
    70,209.75/152,324.25 = 152,324.25/x
  3. Step 3: Cross multiply
    70,209.75x = 152,324.25 × 152,324.25
  4. Step 4: Simplify right side
    70,209.75x = 23,202,677,138.06
  5. Step 5: Solve for x
    x = 23,202,677,138.06/70,209.75
  6. Step 6: Final answer
    x = 330,476.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.