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Finding the Third Proportional to 190,516 and 279,870

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Solution

The third proportional to 190,516 and 279,870 is: 411,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,516 : 279,870 = 279,870 : x
  2. Step 2: Convert to fraction form
    190,516/279,870 = 279,870/x
  3. Step 3: Cross multiply
    190,516x = 279,870 × 279,870
  4. Step 4: Simplify right side
    190,516x = 78,327,216,900
  5. Step 5: Solve for x
    x = 78,327,216,900/190,516
  6. Step 6: Final answer
    x = 411,131.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.