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Finding the Third Proportional to 188,630 and 412,240

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Solution

The third proportional to 188,630 and 412,240 is: 900,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,630 : 412,240 = 412,240 : x
  2. Step 2: Convert to fraction form
    188,630/412,240 = 412,240/x
  3. Step 3: Cross multiply
    188,630x = 412,240 × 412,240
  4. Step 4: Simplify right side
    188,630x = 169,941,817,600
  5. Step 5: Solve for x
    x = 169,941,817,600/188,630
  6. Step 6: Final answer
    x = 900,926.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.