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Finding the Third Proportional to 352.13 and 688.50

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Solution

The third proportional to 352.13 and 688.50 is: 1,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 688.50 = 688.50 : x
  2. Step 2: Convert to fraction form
    352.13/688.50 = 688.50/x
  3. Step 3: Cross multiply
    352.13x = 688.50 × 688.50
  4. Step 4: Simplify right side
    352.13x = 474,032.25
  5. Step 5: Solve for x
    x = 474,032.25/352.13
  6. Step 6: Final answer
    x = 1,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.