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Finding the Third Proportional to 205,868.25 and 297,317.25

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Solution

The third proportional to 205,868.25 and 297,317.25 is: 429,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,868.25 : 297,317.25 = 297,317.25 : x
  2. Step 2: Convert to fraction form
    205,868.25/297,317.25 = 297,317.25/x
  3. Step 3: Cross multiply
    205,868.25x = 297,317.25 × 297,317.25
  4. Step 4: Simplify right side
    205,868.25x = 88,397,547,147.56
  5. Step 5: Solve for x
    x = 88,397,547,147.56/205,868.25
  6. Step 6: Final answer
    x = 429,388.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.