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Finding the Third Proportional to 245,872 and 375,372

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Solution

The third proportional to 245,872 and 375,372 is: 573,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,872 : 375,372 = 375,372 : x
  2. Step 2: Convert to fraction form
    245,872/375,372 = 375,372/x
  3. Step 3: Cross multiply
    245,872x = 375,372 × 375,372
  4. Step 4: Simplify right side
    245,872x = 140,904,138,384
  5. Step 5: Solve for x
    x = 140,904,138,384/245,872
  6. Step 6: Final answer
    x = 573,079.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.