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Finding the Third Proportional to 146,137.50 and 313,301.25

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Solution

The third proportional to 146,137.50 and 313,301.25 is: 671,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,137.50 : 313,301.25 = 313,301.25 : x
  2. Step 2: Convert to fraction form
    146,137.50/313,301.25 = 313,301.25/x
  3. Step 3: Cross multiply
    146,137.50x = 313,301.25 × 313,301.25
  4. Step 4: Simplify right side
    146,137.50x = 98,157,673,251.56
  5. Step 5: Solve for x
    x = 98,157,673,251.56/146,137.50
  6. Step 6: Final answer
    x = 671,680.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.