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Finding the Third Proportional to 148,555 and 222,865

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Solution

The third proportional to 148,555 and 222,865 is: 334,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,555 : 222,865 = 222,865 : x
  2. Step 2: Convert to fraction form
    148,555/222,865 = 222,865/x
  3. Step 3: Cross multiply
    148,555x = 222,865 × 222,865
  4. Step 4: Simplify right side
    148,555x = 49,668,808,225
  5. Step 5: Solve for x
    x = 49,668,808,225/148,555
  6. Step 6: Final answer
    x = 334,346.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.