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Finding the Third Proportional to 188,626 and 404,246

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Solution

The third proportional to 188,626 and 404,246 is: 866,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,626 : 404,246 = 404,246 : x
  2. Step 2: Convert to fraction form
    188,626/404,246 = 404,246/x
  3. Step 3: Cross multiply
    188,626x = 404,246 × 404,246
  4. Step 4: Simplify right side
    188,626x = 163,414,828,516
  5. Step 5: Solve for x
    x = 163,414,828,516/188,626
  6. Step 6: Final answer
    x = 866,343.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.