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Finding the Third Proportional to 156,937 and 228,114

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Solution

The third proportional to 156,937 and 228,114 is: 331,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937 : 228,114 = 228,114 : x
  2. Step 2: Convert to fraction form
    156,937/228,114 = 228,114/x
  3. Step 3: Cross multiply
    156,937x = 228,114 × 228,114
  4. Step 4: Simplify right side
    156,937x = 52,035,996,996
  5. Step 5: Solve for x
    x = 52,035,996,996/156,937
  6. Step 6: Final answer
    x = 331,572.52

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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.