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Finding the Third Proportional to 194,418 and 294,342.75

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Solution

The third proportional to 194,418 and 294,342.75 is: 445,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,418 : 294,342.75 = 294,342.75 : x
  2. Step 2: Convert to fraction form
    194,418/294,342.75 = 294,342.75/x
  3. Step 3: Cross multiply
    194,418x = 294,342.75 × 294,342.75
  4. Step 4: Simplify right side
    194,418x = 86,637,654,477.56
  5. Step 5: Solve for x
    x = 86,637,654,477.56/194,418
  6. Step 6: Final answer
    x = 445,625.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.