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Finding the Third Proportional to 241,462.74 and 382,261.54

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Solution

The third proportional to 241,462.74 and 382,261.54 is: 605,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,462.74 : 382,261.54 = 382,261.54 : x
  2. Step 2: Convert to fraction form
    241,462.74/382,261.54 = 382,261.54/x
  3. Step 3: Cross multiply
    241,462.74x = 382,261.54 × 382,261.54
  4. Step 4: Simplify right side
    241,462.74x = 146,123,887,979.46
  5. Step 5: Solve for x
    x = 146,123,887,979.46/241,462.74
  6. Step 6: Final answer
    x = 605,161.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.