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Finding the Third Proportional to 209.81 and 507.66

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Solution

The third proportional to 209.81 and 507.66 is: 1,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 507.66 = 507.66 : x
  2. Step 2: Convert to fraction form
    209.81/507.66 = 507.66/x
  3. Step 3: Cross multiply
    209.81x = 507.66 × 507.66
  4. Step 4: Simplify right side
    209.81x = 257,714.87
  5. Step 5: Solve for x
    x = 257,714.87/209.81
  6. Step 6: Final answer
    x = 1,228.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.