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Finding the Third Proportional to 228,934.13 and 336,787.88

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Solution

The third proportional to 228,934.13 and 336,787.88 is: 495,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,934.13 : 336,787.88 = 336,787.88 : x
  2. Step 2: Convert to fraction form
    228,934.13/336,787.88 = 336,787.88/x
  3. Step 3: Cross multiply
    228,934.13x = 336,787.88 × 336,787.88
  4. Step 4: Simplify right side
    228,934.13x = 113,426,072,747.02
  5. Step 5: Solve for x
    x = 113,426,072,747.02/228,934.13
  6. Step 6: Final answer
    x = 495,452.89

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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.