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Finding the Third Proportional to 142,596 and 303,351.75

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Solution

The third proportional to 142,596 and 303,351.75 is: 645,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,596 : 303,351.75 = 303,351.75 : x
  2. Step 2: Convert to fraction form
    142,596/303,351.75 = 303,351.75/x
  3. Step 3: Cross multiply
    142,596x = 303,351.75 × 303,351.75
  4. Step 4: Simplify right side
    142,596x = 92,022,284,228.06
  5. Step 5: Solve for x
    x = 92,022,284,228.06/142,596
  6. Step 6: Final answer
    x = 645,335.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.