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Finding the Third Proportional to 248,830 and 375,306

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Solution

The third proportional to 248,830 and 375,306 is: 566,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,830 : 375,306 = 375,306 : x
  2. Step 2: Convert to fraction form
    248,830/375,306 = 375,306/x
  3. Step 3: Cross multiply
    248,830x = 375,306 × 375,306
  4. Step 4: Simplify right side
    248,830x = 140,854,593,636
  5. Step 5: Solve for x
    x = 140,854,593,636/248,830
  6. Step 6: Final answer
    x = 566,067.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.