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Finding the Third Proportional to 233,800 and 361,612

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Solution

The third proportional to 233,800 and 361,612 is: 559,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,800 : 361,612 = 361,612 : x
  2. Step 2: Convert to fraction form
    233,800/361,612 = 361,612/x
  3. Step 3: Cross multiply
    233,800x = 361,612 × 361,612
  4. Step 4: Simplify right side
    233,800x = 130,763,238,544
  5. Step 5: Solve for x
    x = 130,763,238,544/233,800
  6. Step 6: Final answer
    x = 559,295.29

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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.