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Finding the Third Proportional to 221,416.50 and 352,487.25

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Solution

The third proportional to 221,416.50 and 352,487.25 is: 561,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,416.50 : 352,487.25 = 352,487.25 : x
  2. Step 2: Convert to fraction form
    221,416.50/352,487.25 = 352,487.25/x
  3. Step 3: Cross multiply
    221,416.50x = 352,487.25 × 352,487.25
  4. Step 4: Simplify right side
    221,416.50x = 124,247,261,412.56
  5. Step 5: Solve for x
    x = 124,247,261,412.56/221,416.50
  6. Step 6: Final answer
    x = 561,147.26

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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.