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Finding the Third Proportional to 156,757 and 224,074

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Solution

The third proportional to 156,757 and 224,074 is: 320,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,757 : 224,074 = 224,074 : x
  2. Step 2: Convert to fraction form
    156,757/224,074 = 224,074/x
  3. Step 3: Cross multiply
    156,757x = 224,074 × 224,074
  4. Step 4: Simplify right side
    156,757x = 50,209,157,476
  5. Step 5: Solve for x
    x = 50,209,157,476/156,757
  6. Step 6: Final answer
    x = 320,299.30

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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.