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Finding the Third Proportional to 156,952 and 228,134

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Solution

The third proportional to 156,952 and 228,134 is: 331,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 228,134 = 228,134 : x
  2. Step 2: Convert to fraction form
    156,952/228,134 = 228,134/x
  3. Step 3: Cross multiply
    156,952x = 228,134 × 228,134
  4. Step 4: Simplify right side
    156,952x = 52,045,121,956
  5. Step 5: Solve for x
    x = 52,045,121,956/156,952
  6. Step 6: Final answer
    x = 331,598.97

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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.