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Finding the Third Proportional to 156,760 and 224,079

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Solution

The third proportional to 156,760 and 224,079 is: 320,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,760 : 224,079 = 224,079 : x
  2. Step 2: Convert to fraction form
    156,760/224,079 = 224,079/x
  3. Step 3: Cross multiply
    156,760x = 224,079 × 224,079
  4. Step 4: Simplify right side
    156,760x = 50,211,398,241
  5. Step 5: Solve for x
    x = 50,211,398,241/156,760
  6. Step 6: Final answer
    x = 320,307.47

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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.