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Finding the Third Proportional to 221,402.81 and 352,467.56

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Solution

The third proportional to 221,402.81 and 352,467.56 is: 561,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,402.81 : 352,467.56 = 352,467.56 : x
  2. Step 2: Convert to fraction form
    221,402.81/352,467.56 = 352,467.56/x
  3. Step 3: Cross multiply
    221,402.81x = 352,467.56 × 352,467.56
  4. Step 4: Simplify right side
    221,402.81x = 124,233,382,614.69
  5. Step 5: Solve for x
    x = 124,233,382,614.69/221,402.81
  6. Step 6: Final answer
    x = 561,119.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.