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Finding the Third Proportional to 341.88 and 740.38

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Solution

The third proportional to 341.88 and 740.38 is: 1,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.88 : 740.38 = 740.38 : x
  2. Step 2: Convert to fraction form
    341.88/740.38 = 740.38/x
  3. Step 3: Cross multiply
    341.88x = 740.38 × 740.38
  4. Step 4: Simplify right side
    341.88x = 548,155.14
  5. Step 5: Solve for x
    x = 548,155.14/341.88
  6. Step 6: Final answer
    x = 1,603.38

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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.