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Finding the Third Proportional to 148,099 and 223,457

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Solution

The third proportional to 148,099 and 223,457 is: 337,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,099 : 223,457 = 223,457 : x
  2. Step 2: Convert to fraction form
    148,099/223,457 = 223,457/x
  3. Step 3: Cross multiply
    148,099x = 223,457 × 223,457
  4. Step 4: Simplify right side
    148,099x = 49,933,030,849
  5. Step 5: Solve for x
    x = 49,933,030,849/148,099
  6. Step 6: Final answer
    x = 337,159.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.