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Finding the Third Proportional to 341.09 and 741.66

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Solution

The third proportional to 341.09 and 741.66 is: 1,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.09 : 741.66 = 741.66 : x
  2. Step 2: Convert to fraction form
    341.09/741.66 = 741.66/x
  3. Step 3: Cross multiply
    341.09x = 741.66 × 741.66
  4. Step 4: Simplify right side
    341.09x = 550,053.99
  5. Step 5: Solve for x
    x = 550,053.99/341.09
  6. Step 6: Final answer
    x = 1,612.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.