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Finding the Third Proportional to 101,307.50 and 220,453

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Solution

The third proportional to 101,307.50 and 220,453 is: 479,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,307.50 : 220,453 = 220,453 : x
  2. Step 2: Convert to fraction form
    101,307.50/220,453 = 220,453/x
  3. Step 3: Cross multiply
    101,307.50x = 220,453 × 220,453
  4. Step 4: Simplify right side
    101,307.50x = 48,599,525,209
  5. Step 5: Solve for x
    x = 48,599,525,209/101,307.50
  6. Step 6: Final answer
    x = 479,722.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.