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Finding the Third Proportional to 226,071 and 311,423.06

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Solution

The third proportional to 226,071 and 311,423.06 is: 428,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,071 : 311,423.06 = 311,423.06 : x
  2. Step 2: Convert to fraction form
    226,071/311,423.06 = 311,423.06/x
  3. Step 3: Cross multiply
    226,071x = 311,423.06 × 311,423.06
  4. Step 4: Simplify right side
    226,071x = 96,984,323,856.88
  5. Step 5: Solve for x
    x = 96,984,323,856.88/226,071
  6. Step 6: Final answer
    x = 428,999.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.