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Finding the Third Proportional to 175,811.77 and 262,558.97

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Solution

The third proportional to 175,811.77 and 262,558.97 is: 392,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,811.77 : 262,558.97 = 262,558.97 : x
  2. Step 2: Convert to fraction form
    175,811.77/262,558.97 = 262,558.97/x
  3. Step 3: Cross multiply
    175,811.77x = 262,558.97 × 262,558.97
  4. Step 4: Simplify right side
    175,811.77x = 68,937,212,071.06
  5. Step 5: Solve for x
    x = 68,937,212,071.06/175,811.77
  6. Step 6: Final answer
    x = 392,108.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.