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Finding the Third Proportional to 148,288 and 223,712

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Solution

The third proportional to 148,288 and 223,712 is: 337,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,288 : 223,712 = 223,712 : x
  2. Step 2: Convert to fraction form
    148,288/223,712 = 223,712/x
  3. Step 3: Cross multiply
    148,288x = 223,712 × 223,712
  4. Step 4: Simplify right side
    148,288x = 50,047,058,944
  5. Step 5: Solve for x
    x = 50,047,058,944/148,288
  6. Step 6: Final answer
    x = 337,499.05

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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.