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Finding the Third Proportional to 156,988 and 224,201

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Solution

The third proportional to 156,988 and 224,201 is: 320,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,988 : 224,201 = 224,201 : x
  2. Step 2: Convert to fraction form
    156,988/224,201 = 224,201/x
  3. Step 3: Cross multiply
    156,988x = 224,201 × 224,201
  4. Step 4: Simplify right side
    156,988x = 50,266,088,401
  5. Step 5: Solve for x
    x = 50,266,088,401/156,988
  6. Step 6: Final answer
    x = 320,190.64

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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.