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Finding the Third Proportional to 226,046.95 and 349,699.78

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Solution

The third proportional to 226,046.95 and 349,699.78 is: 540,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,046.95 : 349,699.78 = 349,699.78 : x
  2. Step 2: Convert to fraction form
    226,046.95/349,699.78 = 349,699.78/x
  3. Step 3: Cross multiply
    226,046.95x = 349,699.78 × 349,699.78
  4. Step 4: Simplify right side
    226,046.95x = 122,289,937,006.30
  5. Step 5: Solve for x
    x = 122,289,937,006.30/226,046.95
  6. Step 6: Final answer
    x = 540,993.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.