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Finding the Third Proportional to 223,706 and 335,739

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Solution

The third proportional to 223,706 and 335,739 is: 503,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,706 : 335,739 = 335,739 : x
  2. Step 2: Convert to fraction form
    223,706/335,739 = 335,739/x
  3. Step 3: Cross multiply
    223,706x = 335,739 × 335,739
  4. Step 4: Simplify right side
    223,706x = 112,720,676,121
  5. Step 5: Solve for x
    x = 112,720,676,121/223,706
  6. Step 6: Final answer
    x = 503,878.64

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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.