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Finding the Third Proportional to 188,150.50 and 268,212

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Solution

The third proportional to 188,150.50 and 268,212 is: 382,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,150.50 : 268,212 = 268,212 : x
  2. Step 2: Convert to fraction form
    188,150.50/268,212 = 268,212/x
  3. Step 3: Cross multiply
    188,150.50x = 268,212 × 268,212
  4. Step 4: Simplify right side
    188,150.50x = 71,937,676,944
  5. Step 5: Solve for x
    x = 71,937,676,944/188,150.50
  6. Step 6: Final answer
    x = 382,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.