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Finding the Third Proportional to 228,949.66 and 336,564.49

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Solution

The third proportional to 228,949.66 and 336,564.49 is: 494,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,949.66 : 336,564.49 = 336,564.49 : x
  2. Step 2: Convert to fraction form
    228,949.66/336,564.49 = 336,564.49/x
  3. Step 3: Cross multiply
    228,949.66x = 336,564.49 × 336,564.49
  4. Step 4: Simplify right side
    228,949.66x = 113,275,657,401.43
  5. Step 5: Solve for x
    x = 113,275,657,401.43/228,949.66
  6. Step 6: Final answer
    x = 494,762.28

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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.