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Finding the Third Proportional to 162,015.75 and 378,506.25

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Solution

The third proportional to 162,015.75 and 378,506.25 is: 884,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,015.75 : 378,506.25 = 378,506.25 : x
  2. Step 2: Convert to fraction form
    162,015.75/378,506.25 = 378,506.25/x
  3. Step 3: Cross multiply
    162,015.75x = 378,506.25 × 378,506.25
  4. Step 4: Simplify right side
    162,015.75x = 143,266,981,289.06
  5. Step 5: Solve for x
    x = 143,266,981,289.06/162,015.75
  6. Step 6: Final answer
    x = 884,278.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.