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Finding the Third Proportional to 223,160 and 491,590

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Solution

The third proportional to 223,160 and 491,590 is: 1,082,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,160 : 491,590 = 491,590 : x
  2. Step 2: Convert to fraction form
    223,160/491,590 = 491,590/x
  3. Step 3: Cross multiply
    223,160x = 491,590 × 491,590
  4. Step 4: Simplify right side
    223,160x = 241,660,728,100
  5. Step 5: Solve for x
    x = 241,660,728,100/223,160
  6. Step 6: Final answer
    x = 1,082,903.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.