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Finding the Third Proportional to 222,685.88 and 335,934

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Solution

The third proportional to 222,685.88 and 335,934 is: 506,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,685.88 : 335,934 = 335,934 : x
  2. Step 2: Convert to fraction form
    222,685.88/335,934 = 335,934/x
  3. Step 3: Cross multiply
    222,685.88x = 335,934 × 335,934
  4. Step 4: Simplify right side
    222,685.88x = 112,851,652,356
  5. Step 5: Solve for x
    x = 112,851,652,356/222,685.88
  6. Step 6: Final answer
    x = 506,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.