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Finding the Third Proportional to 223,026 and 333,565

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Solution

The third proportional to 223,026 and 333,565 is: 498,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,026 : 333,565 = 333,565 : x
  2. Step 2: Convert to fraction form
    223,026/333,565 = 333,565/x
  3. Step 3: Cross multiply
    223,026x = 333,565 × 333,565
  4. Step 4: Simplify right side
    223,026x = 111,265,609,225
  5. Step 5: Solve for x
    x = 111,265,609,225/223,026
  6. Step 6: Final answer
    x = 498,890.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.