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Finding the Third Proportional to 161,510 and 226,326

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Solution

The third proportional to 161,510 and 226,326 is: 317,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,510 : 226,326 = 226,326 : x
  2. Step 2: Convert to fraction form
    161,510/226,326 = 226,326/x
  3. Step 3: Cross multiply
    161,510x = 226,326 × 226,326
  4. Step 4: Simplify right side
    161,510x = 51,223,458,276
  5. Step 5: Solve for x
    x = 51,223,458,276/161,510
  6. Step 6: Final answer
    x = 317,153.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.