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Finding the Third Proportional to 213.10 and 341.01

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Solution

The third proportional to 213.10 and 341.01 is: 545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 341.01 = 341.01 : x
  2. Step 2: Convert to fraction form
    213.10/341.01 = 341.01/x
  3. Step 3: Cross multiply
    213.10x = 341.01 × 341.01
  4. Step 4: Simplify right side
    213.10x = 116,285.66
  5. Step 5: Solve for x
    x = 116,285.66/213.10
  6. Step 6: Final answer
    x = 545.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.