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Finding the Third Proportional to 341.18 and 731.02

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Solution

The third proportional to 341.18 and 731.02 is: 1,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.18 : 731.02 = 731.02 : x
  2. Step 2: Convert to fraction form
    341.18/731.02 = 731.02/x
  3. Step 3: Cross multiply
    341.18x = 731.02 × 731.02
  4. Step 4: Simplify right side
    341.18x = 534,383.84
  5. Step 5: Solve for x
    x = 534,383.84/341.18
  6. Step 6: Final answer
    x = 1,566.28

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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.