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Finding the Third Proportional to 240,222 and 376,830

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Solution

The third proportional to 240,222 and 376,830 is: 591,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,222 : 376,830 = 376,830 : x
  2. Step 2: Convert to fraction form
    240,222/376,830 = 376,830/x
  3. Step 3: Cross multiply
    240,222x = 376,830 × 376,830
  4. Step 4: Simplify right side
    240,222x = 142,000,848,900
  5. Step 5: Solve for x
    x = 142,000,848,900/240,222
  6. Step 6: Final answer
    x = 591,123.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.