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Finding the Third Proportional to 141,399.75 and 304,939.50

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Solution

The third proportional to 141,399.75 and 304,939.50 is: 657,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,399.75 : 304,939.50 = 304,939.50 : x
  2. Step 2: Convert to fraction form
    141,399.75/304,939.50 = 304,939.50/x
  3. Step 3: Cross multiply
    141,399.75x = 304,939.50 × 304,939.50
  4. Step 4: Simplify right side
    141,399.75x = 92,988,098,660.25
  5. Step 5: Solve for x
    x = 92,988,098,660.25/141,399.75
  6. Step 6: Final answer
    x = 657,625.62

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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.