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Finding the Third Proportional to 193,875 and 423,753

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Solution

The third proportional to 193,875 and 423,753 is: 926,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,875 : 423,753 = 423,753 : x
  2. Step 2: Convert to fraction form
    193,875/423,753 = 423,753/x
  3. Step 3: Cross multiply
    193,875x = 423,753 × 423,753
  4. Step 4: Simplify right side
    193,875x = 179,566,605,009
  5. Step 5: Solve for x
    x = 179,566,605,009/193,875
  6. Step 6: Final answer
    x = 926,197.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.