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Finding the Third Proportional to 340.88 and 541.88

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Solution

The third proportional to 340.88 and 541.88 is: 861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.88 : 541.88 = 541.88 : x
  2. Step 2: Convert to fraction form
    340.88/541.88 = 541.88/x
  3. Step 3: Cross multiply
    340.88x = 541.88 × 541.88
  4. Step 4: Simplify right side
    340.88x = 293,628.52
  5. Step 5: Solve for x
    x = 293,628.52/340.88
  6. Step 6: Final answer
    x = 861.40

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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.