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Finding the Third Proportional to 194,787 and 279,031.50

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Solution

The third proportional to 194,787 and 279,031.50 is: 399,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787 : 279,031.50 = 279,031.50 : x
  2. Step 2: Convert to fraction form
    194,787/279,031.50 = 279,031.50/x
  3. Step 3: Cross multiply
    194,787x = 279,031.50 × 279,031.50
  4. Step 4: Simplify right side
    194,787x = 77,858,577,992.25
  5. Step 5: Solve for x
    x = 77,858,577,992.25/194,787
  6. Step 6: Final answer
    x = 399,711.37

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