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Finding the Third Proportional to 169,087 and 253,095

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Solution

The third proportional to 169,087 and 253,095 is: 378,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,087 : 253,095 = 253,095 : x
  2. Step 2: Convert to fraction form
    169,087/253,095 = 253,095/x
  3. Step 3: Cross multiply
    169,087x = 253,095 × 253,095
  4. Step 4: Simplify right side
    169,087x = 64,057,079,025
  5. Step 5: Solve for x
    x = 64,057,079,025/169,087
  6. Step 6: Final answer
    x = 378,840.95

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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.