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Finding the Third Proportional to 341.51 and 541.79

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Solution

The third proportional to 341.51 and 541.79 is: 859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.51 : 541.79 = 541.79 : x
  2. Step 2: Convert to fraction form
    341.51/541.79 = 541.79/x
  3. Step 3: Cross multiply
    341.51x = 541.79 × 541.79
  4. Step 4: Simplify right side
    341.51x = 293,539.62
  5. Step 5: Solve for x
    x = 293,539.62/341.51
  6. Step 6: Final answer
    x = 859.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.