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Finding the Third Proportional to 203,045.25 and 297,642.38

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Solution

The third proportional to 203,045.25 and 297,642.38 is: 436,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,045.25 : 297,642.38 = 297,642.38 : x
  2. Step 2: Convert to fraction form
    203,045.25/297,642.38 = 297,642.38/x
  3. Step 3: Cross multiply
    203,045.25x = 297,642.38 × 297,642.38
  4. Step 4: Simplify right side
    203,045.25x = 88,590,983,395.64
  5. Step 5: Solve for x
    x = 88,590,983,395.64/203,045.25
  6. Step 6: Final answer
    x = 436,311.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.