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Finding the Third Proportional to 228,958 and 336,814

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Solution

The third proportional to 228,958 and 336,814 is: 495,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,958 : 336,814 = 336,814 : x
  2. Step 2: Convert to fraction form
    228,958/336,814 = 336,814/x
  3. Step 3: Cross multiply
    228,958x = 336,814 × 336,814
  4. Step 4: Simplify right side
    228,958x = 113,443,670,596
  5. Step 5: Solve for x
    x = 113,443,670,596/228,958
  6. Step 6: Final answer
    x = 495,478.08

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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.