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Finding the Third Proportional to 188,195 and 403,678

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Solution

The third proportional to 188,195 and 403,678 is: 865,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,195 : 403,678 = 403,678 : x
  2. Step 2: Convert to fraction form
    188,195/403,678 = 403,678/x
  3. Step 3: Cross multiply
    188,195x = 403,678 × 403,678
  4. Step 4: Simplify right side
    188,195x = 162,955,927,684
  5. Step 5: Solve for x
    x = 162,955,927,684/188,195
  6. Step 6: Final answer
    x = 865,888.72

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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.