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Finding the Third Proportional to 156,770 and 224,094

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Solution

The third proportional to 156,770 and 224,094 is: 320,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 224,094 = 224,094 : x
  2. Step 2: Convert to fraction form
    156,770/224,094 = 224,094/x
  3. Step 3: Cross multiply
    156,770x = 224,094 × 224,094
  4. Step 4: Simplify right side
    156,770x = 50,218,120,836
  5. Step 5: Solve for x
    x = 50,218,120,836/156,770
  6. Step 6: Final answer
    x = 320,329.92

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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.