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Finding the Third Proportional to 101,780 and 224,224

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Solution

The third proportional to 101,780 and 224,224 is: 493,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780 : 224,224 = 224,224 : x
  2. Step 2: Convert to fraction form
    101,780/224,224 = 224,224/x
  3. Step 3: Cross multiply
    101,780x = 224,224 × 224,224
  4. Step 4: Simplify right side
    101,780x = 50,276,402,176
  5. Step 5: Solve for x
    x = 50,276,402,176/101,780
  6. Step 6: Final answer
    x = 493,971.33

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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.