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Finding the Third Proportional to 152,067 and 222,322.50

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Solution

The third proportional to 152,067 and 222,322.50 is: 325,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067 : 222,322.50 = 222,322.50 : x
  2. Step 2: Convert to fraction form
    152,067/222,322.50 = 222,322.50/x
  3. Step 3: Cross multiply
    152,067x = 222,322.50 × 222,322.50
  4. Step 4: Simplify right side
    152,067x = 49,427,294,006.25
  5. Step 5: Solve for x
    x = 49,427,294,006.25/152,067
  6. Step 6: Final answer
    x = 325,036.29

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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.