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Finding the Third Proportional to 142,394 and 303,193

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Solution

The third proportional to 142,394 and 303,193 is: 645,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,394 : 303,193 = 303,193 : x
  2. Step 2: Convert to fraction form
    142,394/303,193 = 303,193/x
  3. Step 3: Cross multiply
    142,394x = 303,193 × 303,193
  4. Step 4: Simplify right side
    142,394x = 91,925,995,249
  5. Step 5: Solve for x
    x = 91,925,995,249/142,394
  6. Step 6: Final answer
    x = 645,574.92

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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.