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Finding the Third Proportional to 241,393.78 and 365,196.94

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Solution

The third proportional to 241,393.78 and 365,196.94 is: 552,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,393.78 : 365,196.94 = 365,196.94 : x
  2. Step 2: Convert to fraction form
    241,393.78/365,196.94 = 365,196.94/x
  3. Step 3: Cross multiply
    241,393.78x = 365,196.94 × 365,196.94
  4. Step 4: Simplify right side
    241,393.78x = 133,368,803,159.38
  5. Step 5: Solve for x
    x = 133,368,803,159.38/241,393.78
  6. Step 6: Final answer
    x = 552,494.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.