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Finding the Third Proportional to 149,535 and 222,141

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Solution

The third proportional to 149,535 and 222,141 is: 330,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,535 : 222,141 = 222,141 : x
  2. Step 2: Convert to fraction form
    149,535/222,141 = 222,141/x
  3. Step 3: Cross multiply
    149,535x = 222,141 × 222,141
  4. Step 4: Simplify right side
    149,535x = 49,346,623,881
  5. Step 5: Solve for x
    x = 49,346,623,881/149,535
  6. Step 6: Final answer
    x = 330,000.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.