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Finding the Third Proportional to 229,035 and 336,711

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Solution

The third proportional to 229,035 and 336,711 is: 495,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,035 : 336,711 = 336,711 : x
  2. Step 2: Convert to fraction form
    229,035/336,711 = 336,711/x
  3. Step 3: Cross multiply
    229,035x = 336,711 × 336,711
  4. Step 4: Simplify right side
    229,035x = 113,374,297,521
  5. Step 5: Solve for x
    x = 113,374,297,521/229,035
  6. Step 6: Final answer
    x = 495,008.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.