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Finding the Third Proportional to 147,444 and 314,193

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Solution

The third proportional to 147,444 and 314,193 is: 669,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,444 : 314,193 = 314,193 : x
  2. Step 2: Convert to fraction form
    147,444/314,193 = 314,193/x
  3. Step 3: Cross multiply
    147,444x = 314,193 × 314,193
  4. Step 4: Simplify right side
    147,444x = 98,717,241,249
  5. Step 5: Solve for x
    x = 98,717,241,249/147,444
  6. Step 6: Final answer
    x = 669,523.62

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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.