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Finding the Third Proportional to 238,726.13 and 324,409.50

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Solution

The third proportional to 238,726.13 and 324,409.50 is: 440,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,726.13 : 324,409.50 = 324,409.50 : x
  2. Step 2: Convert to fraction form
    238,726.13/324,409.50 = 324,409.50/x
  3. Step 3: Cross multiply
    238,726.13x = 324,409.50 × 324,409.50
  4. Step 4: Simplify right side
    238,726.13x = 105,241,523,690.25
  5. Step 5: Solve for x
    x = 105,241,523,690.25/238,726.13
  6. Step 6: Final answer
    x = 440,846.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.