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Finding the Third Proportional to 240,194 and 376,788

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Solution

The third proportional to 240,194 and 376,788 is: 591,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194 : 376,788 = 376,788 : x
  2. Step 2: Convert to fraction form
    240,194/376,788 = 376,788/x
  3. Step 3: Cross multiply
    240,194x = 376,788 × 376,788
  4. Step 4: Simplify right side
    240,194x = 141,969,196,944
  5. Step 5: Solve for x
    x = 141,969,196,944/240,194
  6. Step 6: Final answer
    x = 591,060.55

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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.