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Finding the Third Proportional to 141,200.75 and 305,345

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Solution

The third proportional to 141,200.75 and 305,345 is: 660,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,200.75 : 305,345 = 305,345 : x
  2. Step 2: Convert to fraction form
    141,200.75/305,345 = 305,345/x
  3. Step 3: Cross multiply
    141,200.75x = 305,345 × 305,345
  4. Step 4: Simplify right side
    141,200.75x = 93,235,569,025
  5. Step 5: Solve for x
    x = 93,235,569,025/141,200.75
  6. Step 6: Final answer
    x = 660,305.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.