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Finding the Third Proportional to 101,152 and 224,768

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Solution

The third proportional to 101,152 and 224,768 is: 499,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,152 : 224,768 = 224,768 : x
  2. Step 2: Convert to fraction form
    101,152/224,768 = 224,768/x
  3. Step 3: Cross multiply
    101,152x = 224,768 × 224,768
  4. Step 4: Simplify right side
    101,152x = 50,520,653,824
  5. Step 5: Solve for x
    x = 50,520,653,824/101,152
  6. Step 6: Final answer
    x = 499,452.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.