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Finding the Third Proportional to 171,346 and 251,174

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Solution

The third proportional to 171,346 and 251,174 is: 368,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,346 : 251,174 = 251,174 : x
  2. Step 2: Convert to fraction form
    171,346/251,174 = 251,174/x
  3. Step 3: Cross multiply
    171,346x = 251,174 × 251,174
  4. Step 4: Simplify right side
    171,346x = 63,088,378,276
  5. Step 5: Solve for x
    x = 63,088,378,276/171,346
  6. Step 6: Final answer
    x = 368,192.89

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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.