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Finding the Third Proportional to 156,750 and 228,563

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Solution

The third proportional to 156,750 and 228,563 is: 333,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 228,563 = 228,563 : x
  2. Step 2: Convert to fraction form
    156,750/228,563 = 228,563/x
  3. Step 3: Cross multiply
    156,750x = 228,563 × 228,563
  4. Step 4: Simplify right side
    156,750x = 52,241,044,969
  5. Step 5: Solve for x
    x = 52,241,044,969/156,750
  6. Step 6: Final answer
    x = 333,276.20

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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.