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Finding the Third Proportional to 223,902 and 335,714.63

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Solution

The third proportional to 223,902 and 335,714.63 is: 503,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,902 : 335,714.63 = 335,714.63 : x
  2. Step 2: Convert to fraction form
    223,902/335,714.63 = 335,714.63/x
  3. Step 3: Cross multiply
    223,902x = 335,714.63 × 335,714.63
  4. Step 4: Simplify right side
    223,902x = 112,704,309,438.89
  5. Step 5: Solve for x
    x = 112,704,309,438.89/223,902
  6. Step 6: Final answer
    x = 503,364.46

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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.