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Finding the Third Proportional to 341.23 and 731.14

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Solution

The third proportional to 341.23 and 731.14 is: 1,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.23 : 731.14 = 731.14 : x
  2. Step 2: Convert to fraction form
    341.23/731.14 = 731.14/x
  3. Step 3: Cross multiply
    341.23x = 731.14 × 731.14
  4. Step 4: Simplify right side
    341.23x = 534,572.33
  5. Step 5: Solve for x
    x = 534,572.33/341.23
  6. Step 6: Final answer
    x = 1,566.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.