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Finding the Third Proportional to 129,537.50 and 305,351

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Solution

The third proportional to 129,537.50 and 305,351 is: 719,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,537.50 : 305,351 = 305,351 : x
  2. Step 2: Convert to fraction form
    129,537.50/305,351 = 305,351/x
  3. Step 3: Cross multiply
    129,537.50x = 305,351 × 305,351
  4. Step 4: Simplify right side
    129,537.50x = 93,239,233,201
  5. Step 5: Solve for x
    x = 93,239,233,201/129,537.50
  6. Step 6: Final answer
    x = 719,785.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.