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Finding the Third Proportional to 146,512 and 222,572

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Solution

The third proportional to 146,512 and 222,572 is: 338,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,512 : 222,572 = 222,572 : x
  2. Step 2: Convert to fraction form
    146,512/222,572 = 222,572/x
  3. Step 3: Cross multiply
    146,512x = 222,572 × 222,572
  4. Step 4: Simplify right side
    146,512x = 49,538,295,184
  5. Step 5: Solve for x
    x = 49,538,295,184/146,512
  6. Step 6: Final answer
    x = 338,117.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.