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Finding the Third Proportional to 188,166 and 402,228

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Solution

The third proportional to 188,166 and 402,228 is: 859,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,166 : 402,228 = 402,228 : x
  2. Step 2: Convert to fraction form
    188,166/402,228 = 402,228/x
  3. Step 3: Cross multiply
    188,166x = 402,228 × 402,228
  4. Step 4: Simplify right side
    188,166x = 161,787,363,984
  5. Step 5: Solve for x
    x = 161,787,363,984/188,166
  6. Step 6: Final answer
    x = 859,811.89

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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.