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Finding the Third Proportional to 176,736.94 and 207,901.69

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Solution

The third proportional to 176,736.94 and 207,901.69 is: 244,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,736.94 : 207,901.69 = 207,901.69 : x
  2. Step 2: Convert to fraction form
    176,736.94/207,901.69 = 207,901.69/x
  3. Step 3: Cross multiply
    176,736.94x = 207,901.69 × 207,901.69
  4. Step 4: Simplify right side
    176,736.94x = 43,223,111,665.35
  5. Step 5: Solve for x
    x = 43,223,111,665.35/176,736.94
  6. Step 6: Final answer
    x = 244,561.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.