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Finding the Third Proportional to 146,722.64 and 223,165.13

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Solution

The third proportional to 146,722.64 and 223,165.13 is: 339,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,722.64 : 223,165.13 = 223,165.13 : x
  2. Step 2: Convert to fraction form
    146,722.64/223,165.13 = 223,165.13/x
  3. Step 3: Cross multiply
    146,722.64x = 223,165.13 × 223,165.13
  4. Step 4: Simplify right side
    146,722.64x = 49,802,673,016.27
  5. Step 5: Solve for x
    x = 49,802,673,016.27/146,722.64
  6. Step 6: Final answer
    x = 339,434.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.