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Finding the Third Proportional to 156,750 and 224,064

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Solution

The third proportional to 156,750 and 224,064 is: 320,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 224,064 = 224,064 : x
  2. Step 2: Convert to fraction form
    156,750/224,064 = 224,064/x
  3. Step 3: Cross multiply
    156,750x = 224,064 × 224,064
  4. Step 4: Simplify right side
    156,750x = 50,204,676,096
  5. Step 5: Solve for x
    x = 50,204,676,096/156,750
  6. Step 6: Final answer
    x = 320,285.01

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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.