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Finding the Third Proportional to 222,114 and 324,840

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Solution

The third proportional to 222,114 and 324,840 is: 475,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,114 : 324,840 = 324,840 : x
  2. Step 2: Convert to fraction form
    222,114/324,840 = 324,840/x
  3. Step 3: Cross multiply
    222,114x = 324,840 × 324,840
  4. Step 4: Simplify right side
    222,114x = 105,521,025,600
  5. Step 5: Solve for x
    x = 105,521,025,600/222,114
  6. Step 6: Final answer
    x = 475,075.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.