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Finding the Third Proportional to 229,782 and 336,663

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Solution

The third proportional to 229,782 and 336,663 is: 493,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,782 : 336,663 = 336,663 : x
  2. Step 2: Convert to fraction form
    229,782/336,663 = 336,663/x
  3. Step 3: Cross multiply
    229,782x = 336,663 × 336,663
  4. Step 4: Simplify right side
    229,782x = 113,341,975,569
  5. Step 5: Solve for x
    x = 113,341,975,569/229,782
  6. Step 6: Final answer
    x = 493,258.72

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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.