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Finding the Third Proportional to 169,026.75 and 253,012.50

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Solution

The third proportional to 169,026.75 and 253,012.50 is: 378,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,026.75 : 253,012.50 = 253,012.50 : x
  2. Step 2: Convert to fraction form
    169,026.75/253,012.50 = 253,012.50/x
  3. Step 3: Cross multiply
    169,026.75x = 253,012.50 × 253,012.50
  4. Step 4: Simplify right side
    169,026.75x = 64,015,325,156.25
  5. Step 5: Solve for x
    x = 64,015,325,156.25/169,026.75
  6. Step 6: Final answer
    x = 378,728.96

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