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Finding the Third Proportional to 194,444 and 278,060

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Solution

The third proportional to 194,444 and 278,060 is: 397,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,444 : 278,060 = 278,060 : x
  2. Step 2: Convert to fraction form
    194,444/278,060 = 278,060/x
  3. Step 3: Cross multiply
    194,444x = 278,060 × 278,060
  4. Step 4: Simplify right side
    194,444x = 77,317,363,600
  5. Step 5: Solve for x
    x = 77,317,363,600/194,444
  6. Step 6: Final answer
    x = 397,633.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.