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Finding the Third Proportional to 161,796 and 236,538

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Solution

The third proportional to 161,796 and 236,538 is: 345,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,796 : 236,538 = 236,538 : x
  2. Step 2: Convert to fraction form
    161,796/236,538 = 236,538/x
  3. Step 3: Cross multiply
    161,796x = 236,538 × 236,538
  4. Step 4: Simplify right side
    161,796x = 55,950,225,444
  5. Step 5: Solve for x
    x = 55,950,225,444/161,796
  6. Step 6: Final answer
    x = 345,807.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.