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Finding the Third Proportional to 204,433.88 and 310,341.38

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Solution

The third proportional to 204,433.88 and 310,341.38 is: 471,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,433.88 : 310,341.38 = 310,341.38 : x
  2. Step 2: Convert to fraction form
    204,433.88/310,341.38 = 310,341.38/x
  3. Step 3: Cross multiply
    204,433.88x = 310,341.38 × 310,341.38
  4. Step 4: Simplify right side
    204,433.88x = 96,311,769,036.89
  5. Step 5: Solve for x
    x = 96,311,769,036.89/204,433.88
  6. Step 6: Final answer
    x = 471,114.53

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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.