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Finding the Third Proportional to 204,152.63 and 319,052.25

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Solution

The third proportional to 204,152.63 and 319,052.25 is: 498,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,152.63 : 319,052.25 = 319,052.25 : x
  2. Step 2: Convert to fraction form
    204,152.63/319,052.25 = 319,052.25/x
  3. Step 3: Cross multiply
    204,152.63x = 319,052.25 × 319,052.25
  4. Step 4: Simplify right side
    204,152.63x = 101,794,338,230.06
  5. Step 5: Solve for x
    x = 101,794,338,230.06/204,152.63
  6. Step 6: Final answer
    x = 498,618.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.