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Finding the Third Proportional to 186,246 and 414,648

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Solution

The third proportional to 186,246 and 414,648 is: 923,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,246 : 414,648 = 414,648 : x
  2. Step 2: Convert to fraction form
    186,246/414,648 = 414,648/x
  3. Step 3: Cross multiply
    186,246x = 414,648 × 414,648
  4. Step 4: Simplify right side
    186,246x = 171,932,963,904
  5. Step 5: Solve for x
    x = 171,932,963,904/186,246
  6. Step 6: Final answer
    x = 923,149.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.