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Finding the Third Proportional to 191,960 and 418,858

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Solution

The third proportional to 191,960 and 418,858 is: 913,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,960 : 418,858 = 418,858 : x
  2. Step 2: Convert to fraction form
    191,960/418,858 = 418,858/x
  3. Step 3: Cross multiply
    191,960x = 418,858 × 418,858
  4. Step 4: Simplify right side
    191,960x = 175,442,024,164
  5. Step 5: Solve for x
    x = 175,442,024,164/191,960
  6. Step 6: Final answer
    x = 913,950.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.