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Finding the Third Proportional to 232,174 and 508,092

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Solution

The third proportional to 232,174 and 508,092 is: 1,111,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,174 : 508,092 = 508,092 : x
  2. Step 2: Convert to fraction form
    232,174/508,092 = 508,092/x
  3. Step 3: Cross multiply
    232,174x = 508,092 × 508,092
  4. Step 4: Simplify right side
    232,174x = 258,157,480,464
  5. Step 5: Solve for x
    x = 258,157,480,464/232,174
  6. Step 6: Final answer
    x = 1,111,913.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.