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Finding the Third Proportional to 163,298 and 239,753

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Solution

The third proportional to 163,298 and 239,753 is: 352,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,298 : 239,753 = 239,753 : x
  2. Step 2: Convert to fraction form
    163,298/239,753 = 239,753/x
  3. Step 3: Cross multiply
    163,298x = 239,753 × 239,753
  4. Step 4: Simplify right side
    163,298x = 57,481,501,009
  5. Step 5: Solve for x
    x = 57,481,501,009/163,298
  6. Step 6: Final answer
    x = 352,003.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.