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Finding the Third Proportional to 117,416.53 and 261,726.19

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Solution

The third proportional to 117,416.53 and 261,726.19 is: 583,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,416.53 : 261,726.19 = 261,726.19 : x
  2. Step 2: Convert to fraction form
    117,416.53/261,726.19 = 261,726.19/x
  3. Step 3: Cross multiply
    117,416.53x = 261,726.19 × 261,726.19
  4. Step 4: Simplify right side
    117,416.53x = 68,500,597,223.29
  5. Step 5: Solve for x
    x = 68,500,597,223.29/117,416.53
  6. Step 6: Final answer
    x = 583,398.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.