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Finding the Third Proportional to 240,161 and 376,724

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Solution

The third proportional to 240,161 and 376,724 is: 590,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,161 : 376,724 = 376,724 : x
  2. Step 2: Convert to fraction form
    240,161/376,724 = 376,724/x
  3. Step 3: Cross multiply
    240,161x = 376,724 × 376,724
  4. Step 4: Simplify right side
    240,161x = 141,920,972,176
  5. Step 5: Solve for x
    x = 141,920,972,176/240,161
  6. Step 6: Final answer
    x = 590,940.96

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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.