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Finding the Third Proportional to 169,062.25 and 253,063

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Solution

The third proportional to 169,062.25 and 253,063 is: 378,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,062.25 : 253,063 = 253,063 : x
  2. Step 2: Convert to fraction form
    169,062.25/253,063 = 253,063/x
  3. Step 3: Cross multiply
    169,062.25x = 253,063 × 253,063
  4. Step 4: Simplify right side
    169,062.25x = 64,040,881,969
  5. Step 5: Solve for x
    x = 64,040,881,969/169,062.25
  6. Step 6: Final answer
    x = 378,800.60

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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.