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Finding the Third Proportional to 140,590.69 and 297,940.78

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Solution

The third proportional to 140,590.69 and 297,940.78 is: 631,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590.69 : 297,940.78 = 297,940.78 : x
  2. Step 2: Convert to fraction form
    140,590.69/297,940.78 = 297,940.78/x
  3. Step 3: Cross multiply
    140,590.69x = 297,940.78 × 297,940.78
  4. Step 4: Simplify right side
    140,590.69x = 88,768,709,131.86
  5. Step 5: Solve for x
    x = 88,768,709,131.86/140,590.69
  6. Step 6: Final answer
    x = 631,398.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.