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Finding the Third Proportional to 156,959 and 228,145

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Solution

The third proportional to 156,959 and 228,145 is: 331,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959 : 228,145 = 228,145 : x
  2. Step 2: Convert to fraction form
    156,959/228,145 = 228,145/x
  3. Step 3: Cross multiply
    156,959x = 228,145 × 228,145
  4. Step 4: Simplify right side
    156,959x = 52,050,141,025
  5. Step 5: Solve for x
    x = 52,050,141,025/156,959
  6. Step 6: Final answer
    x = 331,616.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.