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Finding the Third Proportional to 115,589.25 and 169,384.50

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Solution

The third proportional to 115,589.25 and 169,384.50 is: 248,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,589.25 : 169,384.50 = 169,384.50 : x
  2. Step 2: Convert to fraction form
    115,589.25/169,384.50 = 169,384.50/x
  3. Step 3: Cross multiply
    115,589.25x = 169,384.50 × 169,384.50
  4. Step 4: Simplify right side
    115,589.25x = 28,691,108,840.25
  5. Step 5: Solve for x
    x = 28,691,108,840.25/115,589.25
  6. Step 6: Final answer
    x = 248,216.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.