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Finding the Third Proportional to 226,000.13 and 341,914.50

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Solution

The third proportional to 226,000.13 and 341,914.50 is: 517,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,000.13 : 341,914.50 = 341,914.50 : x
  2. Step 2: Convert to fraction form
    226,000.13/341,914.50 = 341,914.50/x
  3. Step 3: Cross multiply
    226,000.13x = 341,914.50 × 341,914.50
  4. Step 4: Simplify right side
    226,000.13x = 116,905,525,310.25
  5. Step 5: Solve for x
    x = 116,905,525,310.25/226,000.13
  6. Step 6: Final answer
    x = 517,280.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.