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Finding the Third Proportional to 117,186.75 and 180,643.92

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Solution

The third proportional to 117,186.75 and 180,643.92 is: 278,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,186.75 : 180,643.92 = 180,643.92 : x
  2. Step 2: Convert to fraction form
    117,186.75/180,643.92 = 180,643.92/x
  3. Step 3: Cross multiply
    117,186.75x = 180,643.92 × 180,643.92
  4. Step 4: Simplify right side
    117,186.75x = 32,632,226,510.38
  5. Step 5: Solve for x
    x = 32,632,226,510.38/117,186.75
  6. Step 6: Final answer
    x = 278,463.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.