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Finding the Third Proportional to 192,121.50 and 417,465

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Solution

The third proportional to 192,121.50 and 417,465 is: 907,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,121.50 : 417,465 = 417,465 : x
  2. Step 2: Convert to fraction form
    192,121.50/417,465 = 417,465/x
  3. Step 3: Cross multiply
    192,121.50x = 417,465 × 417,465
  4. Step 4: Simplify right side
    192,121.50x = 174,277,026,225
  5. Step 5: Solve for x
    x = 174,277,026,225/192,121.50
  6. Step 6: Final answer
    x = 907,118.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.