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Finding the Third Proportional to 193,904 and 417,345

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Solution

The third proportional to 193,904 and 417,345 is: 898,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,904 : 417,345 = 417,345 : x
  2. Step 2: Convert to fraction form
    193,904/417,345 = 417,345/x
  3. Step 3: Cross multiply
    193,904x = 417,345 × 417,345
  4. Step 4: Simplify right side
    193,904x = 174,176,849,025
  5. Step 5: Solve for x
    x = 174,176,849,025/193,904
  6. Step 6: Final answer
    x = 898,263.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.