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Finding the Third Proportional to 156,739 and 228,538

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Solution

The third proportional to 156,739 and 228,538 is: 333,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 228,538 = 228,538 : x
  2. Step 2: Convert to fraction form
    156,739/228,538 = 228,538/x
  3. Step 3: Cross multiply
    156,739x = 228,538 × 228,538
  4. Step 4: Simplify right side
    156,739x = 52,229,617,444
  5. Step 5: Solve for x
    x = 52,229,617,444/156,739
  6. Step 6: Final answer
    x = 333,226.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.