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Finding the Third Proportional to 156,766 and 224,088

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Solution

The third proportional to 156,766 and 224,088 is: 320,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766 : 224,088 = 224,088 : x
  2. Step 2: Convert to fraction form
    156,766/224,088 = 224,088/x
  3. Step 3: Cross multiply
    156,766x = 224,088 × 224,088
  4. Step 4: Simplify right side
    156,766x = 50,215,431,744
  5. Step 5: Solve for x
    x = 50,215,431,744/156,766
  6. Step 6: Final answer
    x = 320,320.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.