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Finding the Third Proportional to 161,163 and 236,169

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Solution

The third proportional to 161,163 and 236,169 is: 346,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,163 : 236,169 = 236,169 : x
  2. Step 2: Convert to fraction form
    161,163/236,169 = 236,169/x
  3. Step 3: Cross multiply
    161,163x = 236,169 × 236,169
  4. Step 4: Simplify right side
    161,163x = 55,775,796,561
  5. Step 5: Solve for x
    x = 55,775,796,561/161,163
  6. Step 6: Final answer
    x = 346,083.14

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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.