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Finding the Third Proportional to 204,465.75 and 310,377.75

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Solution

The third proportional to 204,465.75 and 310,377.75 is: 471,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,465.75 : 310,377.75 = 310,377.75 : x
  2. Step 2: Convert to fraction form
    204,465.75/310,377.75 = 310,377.75/x
  3. Step 3: Cross multiply
    204,465.75x = 310,377.75 × 310,377.75
  4. Step 4: Simplify right side
    204,465.75x = 96,334,347,695.06
  5. Step 5: Solve for x
    x = 96,334,347,695.06/204,465.75
  6. Step 6: Final answer
    x = 471,151.51

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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.