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Finding the Third Proportional to 228,960 and 336,817

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Solution

The third proportional to 228,960 and 336,817 is: 495,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,960 : 336,817 = 336,817 : x
  2. Step 2: Convert to fraction form
    228,960/336,817 = 336,817/x
  3. Step 3: Cross multiply
    228,960x = 336,817 × 336,817
  4. Step 4: Simplify right side
    228,960x = 113,445,691,489
  5. Step 5: Solve for x
    x = 113,445,691,489/228,960
  6. Step 6: Final answer
    x = 495,482.58

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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.