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Finding the Third Proportional to 185,904 and 395,784

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Solution

The third proportional to 185,904 and 395,784 is: 842,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,904 : 395,784 = 395,784 : x
  2. Step 2: Convert to fraction form
    185,904/395,784 = 395,784/x
  3. Step 3: Cross multiply
    185,904x = 395,784 × 395,784
  4. Step 4: Simplify right side
    185,904x = 156,644,974,656
  5. Step 5: Solve for x
    x = 156,644,974,656/185,904
  6. Step 6: Final answer
    x = 842,612.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.