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Finding the Third Proportional to 146,415.38 and 221,467.50

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Solution

The third proportional to 146,415.38 and 221,467.50 is: 334,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415.38 : 221,467.50 = 221,467.50 : x
  2. Step 2: Convert to fraction form
    146,415.38/221,467.50 = 221,467.50/x
  3. Step 3: Cross multiply
    146,415.38x = 221,467.50 × 221,467.50
  4. Step 4: Simplify right side
    146,415.38x = 49,047,853,556.25
  5. Step 5: Solve for x
    x = 49,047,853,556.25/146,415.38
  6. Step 6: Final answer
    x = 334,991.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.