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Finding the Third Proportional to 223.13 and 524.06

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Solution

The third proportional to 223.13 and 524.06 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.13 : 524.06 = 524.06 : x
  2. Step 2: Convert to fraction form
    223.13/524.06 = 524.06/x
  3. Step 3: Cross multiply
    223.13x = 524.06 × 524.06
  4. Step 4: Simplify right side
    223.13x = 274,641.50
  5. Step 5: Solve for x
    x = 274,641.50/223.13
  6. Step 6: Final answer
    x = 1,230.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.