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Finding the Third Proportional to 226,957 and 341,414.50

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Solution

The third proportional to 226,957 and 341,414.50 is: 513,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,957 : 341,414.50 = 341,414.50 : x
  2. Step 2: Convert to fraction form
    226,957/341,414.50 = 341,414.50/x
  3. Step 3: Cross multiply
    226,957x = 341,414.50 × 341,414.50
  4. Step 4: Simplify right side
    226,957x = 116,563,860,810.25
  5. Step 5: Solve for x
    x = 116,563,860,810.25/226,957
  6. Step 6: Final answer
    x = 513,594.47

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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.