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Finding the Third Proportional to 228,003 and 340,728

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Solution

The third proportional to 228,003 and 340,728 is: 509,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,003 : 340,728 = 340,728 : x
  2. Step 2: Convert to fraction form
    228,003/340,728 = 340,728/x
  3. Step 3: Cross multiply
    228,003x = 340,728 × 340,728
  4. Step 4: Simplify right side
    228,003x = 116,095,569,984
  5. Step 5: Solve for x
    x = 116,095,569,984/228,003
  6. Step 6: Final answer
    x = 509,184.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.