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Finding the Third Proportional to 156,984 and 224,195

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Solution

The third proportional to 156,984 and 224,195 is: 320,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,984 : 224,195 = 224,195 : x
  2. Step 2: Convert to fraction form
    156,984/224,195 = 224,195/x
  3. Step 3: Cross multiply
    156,984x = 224,195 × 224,195
  4. Step 4: Simplify right side
    156,984x = 50,263,398,025
  5. Step 5: Solve for x
    x = 50,263,398,025/156,984
  6. Step 6: Final answer
    x = 320,181.66

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