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Finding the Third Proportional to 191,439 and 408,030

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Solution

The third proportional to 191,439 and 408,030 is: 869,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,439 : 408,030 = 408,030 : x
  2. Step 2: Convert to fraction form
    191,439/408,030 = 408,030/x
  3. Step 3: Cross multiply
    191,439x = 408,030 × 408,030
  4. Step 4: Simplify right side
    191,439x = 166,488,480,900
  5. Step 5: Solve for x
    x = 166,488,480,900/191,439
  6. Step 6: Final answer
    x = 869,668.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.