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Finding the Third Proportional to 228,518 and 341,764

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Solution

The third proportional to 228,518 and 341,764 is: 511,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,518 : 341,764 = 341,764 : x
  2. Step 2: Convert to fraction form
    228,518/341,764 = 341,764/x
  3. Step 3: Cross multiply
    228,518x = 341,764 × 341,764
  4. Step 4: Simplify right side
    228,518x = 116,802,631,696
  5. Step 5: Solve for x
    x = 116,802,631,696/228,518
  6. Step 6: Final answer
    x = 511,130.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.