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Finding the Third Proportional to 229,096 and 336,778

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Solution

The third proportional to 229,096 and 336,778 is: 495,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096 : 336,778 = 336,778 : x
  2. Step 2: Convert to fraction form
    229,096/336,778 = 336,778/x
  3. Step 3: Cross multiply
    229,096x = 336,778 × 336,778
  4. Step 4: Simplify right side
    229,096x = 113,419,421,284
  5. Step 5: Solve for x
    x = 113,419,421,284/229,096
  6. Step 6: Final answer
    x = 495,073.77

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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.