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Finding the Third Proportional to 222,176 and 344,120

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Solution

The third proportional to 222,176 and 344,120 is: 532,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,176 : 344,120 = 344,120 : x
  2. Step 2: Convert to fraction form
    222,176/344,120 = 344,120/x
  3. Step 3: Cross multiply
    222,176x = 344,120 × 344,120
  4. Step 4: Simplify right side
    222,176x = 118,418,574,400
  5. Step 5: Solve for x
    x = 118,418,574,400/222,176
  6. Step 6: Final answer
    x = 532,994.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.