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Finding the Third Proportional to 232,717 and 360,307

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Solution

The third proportional to 232,717 and 360,307 is: 557,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,717 : 360,307 = 360,307 : x
  2. Step 2: Convert to fraction form
    232,717/360,307 = 360,307/x
  3. Step 3: Cross multiply
    232,717x = 360,307 × 360,307
  4. Step 4: Simplify right side
    232,717x = 129,821,134,249
  5. Step 5: Solve for x
    x = 129,821,134,249/232,717
  6. Step 6: Final answer
    x = 557,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.