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Finding the Third Proportional to 228,971 and 336,835

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Solution

The third proportional to 228,971 and 336,835 is: 495,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971 : 336,835 = 336,835 : x
  2. Step 2: Convert to fraction form
    228,971/336,835 = 336,835/x
  3. Step 3: Cross multiply
    228,971x = 336,835 × 336,835
  4. Step 4: Simplify right side
    228,971x = 113,457,817,225
  5. Step 5: Solve for x
    x = 113,457,817,225/228,971
  6. Step 6: Final answer
    x = 495,511.73

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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.