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Finding the Third Proportional to 565.03 and 1,166.34

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Solution

The third proportional to 565.03 and 1,166.34 is: 2,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 1,166.34 = 1,166.34 : x
  2. Step 2: Convert to fraction form
    565.03/1,166.34 = 1,166.34/x
  3. Step 3: Cross multiply
    565.03x = 1,166.34 × 1,166.34
  4. Step 4: Simplify right side
    565.03x = 1,360,357.74
  5. Step 5: Solve for x
    x = 1,360,357.74/565.03
  6. Step 6: Final answer
    x = 2,407.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.