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Finding the Third Proportional to 156,778 and 228,598

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Solution

The third proportional to 156,778 and 228,598 is: 333,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 228,598 = 228,598 : x
  2. Step 2: Convert to fraction form
    156,778/228,598 = 228,598/x
  3. Step 3: Cross multiply
    156,778x = 228,598 × 228,598
  4. Step 4: Simplify right side
    156,778x = 52,257,045,604
  5. Step 5: Solve for x
    x = 52,257,045,604/156,778
  6. Step 6: Final answer
    x = 333,318.74

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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.