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Finding the Third Proportional to 101,862 and 224,030

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Solution

The third proportional to 101,862 and 224,030 is: 492,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862 : 224,030 = 224,030 : x
  2. Step 2: Convert to fraction form
    101,862/224,030 = 224,030/x
  3. Step 3: Cross multiply
    101,862x = 224,030 × 224,030
  4. Step 4: Simplify right side
    101,862x = 50,189,440,900
  5. Step 5: Solve for x
    x = 50,189,440,900/101,862
  6. Step 6: Final answer
    x = 492,719.96

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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.