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Finding the Third Proportional to 101,984 and 224,160

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Solution

The third proportional to 101,984 and 224,160 is: 492,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984 : 224,160 = 224,160 : x
  2. Step 2: Convert to fraction form
    101,984/224,160 = 224,160/x
  3. Step 3: Cross multiply
    101,984x = 224,160 × 224,160
  4. Step 4: Simplify right side
    101,984x = 50,247,705,600
  5. Step 5: Solve for x
    x = 50,247,705,600/101,984
  6. Step 6: Final answer
    x = 492,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.