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Finding the Third Proportional to 200,886.75 and 303,922.13

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Solution

The third proportional to 200,886.75 and 303,922.13 is: 459,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.75 : 303,922.13 = 303,922.13 : x
  2. Step 2: Convert to fraction form
    200,886.75/303,922.13 = 303,922.13/x
  3. Step 3: Cross multiply
    200,886.75x = 303,922.13 × 303,922.13
  4. Step 4: Simplify right side
    200,886.75x = 92,368,658,064.52
  5. Step 5: Solve for x
    x = 92,368,658,064.52/200,886.75
  6. Step 6: Final answer
    x = 459,804.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.