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Finding the Third Proportional to 148,392 and 223,101

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Solution

The third proportional to 148,392 and 223,101 is: 335,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,392 : 223,101 = 223,101 : x
  2. Step 2: Convert to fraction form
    148,392/223,101 = 223,101/x
  3. Step 3: Cross multiply
    148,392x = 223,101 × 223,101
  4. Step 4: Simplify right side
    148,392x = 49,774,056,201
  5. Step 5: Solve for x
    x = 49,774,056,201/148,392
  6. Step 6: Final answer
    x = 335,422.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.