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Finding the Third Proportional to 132,239.25 and 201,455.44

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Solution

The third proportional to 132,239.25 and 201,455.44 is: 306,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,239.25 : 201,455.44 = 201,455.44 : x
  2. Step 2: Convert to fraction form
    132,239.25/201,455.44 = 201,455.44/x
  3. Step 3: Cross multiply
    132,239.25x = 201,455.44 × 201,455.44
  4. Step 4: Simplify right side
    132,239.25x = 40,584,293,298.32
  5. Step 5: Solve for x
    x = 40,584,293,298.32/132,239.25
  6. Step 6: Final answer
    x = 306,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.