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Finding the Third Proportional to 193,391.46 and 417,892.13

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Solution

The third proportional to 193,391.46 and 417,892.13 is: 903,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,391.46 : 417,892.13 = 417,892.13 : x
  2. Step 2: Convert to fraction form
    193,391.46/417,892.13 = 417,892.13/x
  3. Step 3: Cross multiply
    193,391.46x = 417,892.13 × 417,892.13
  4. Step 4: Simplify right side
    193,391.46x = 174,633,833,034.19
  5. Step 5: Solve for x
    x = 174,633,833,034.19/193,391.46
  6. Step 6: Final answer
    x = 903,006.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.