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Finding the Third Proportional to 233,564 and 361,234

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Solution

The third proportional to 233,564 and 361,234 is: 558,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,564 : 361,234 = 361,234 : x
  2. Step 2: Convert to fraction form
    233,564/361,234 = 361,234/x
  3. Step 3: Cross multiply
    233,564x = 361,234 × 361,234
  4. Step 4: Simplify right side
    233,564x = 130,490,002,756
  5. Step 5: Solve for x
    x = 130,490,002,756/233,564
  6. Step 6: Final answer
    x = 558,690.56

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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.