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Finding the Third Proportional to 148,362 and 307,092

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Solution

The third proportional to 148,362 and 307,092 is: 635,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,362 : 307,092 = 307,092 : x
  2. Step 2: Convert to fraction form
    148,362/307,092 = 307,092/x
  3. Step 3: Cross multiply
    148,362x = 307,092 × 307,092
  4. Step 4: Simplify right side
    148,362x = 94,305,496,464
  5. Step 5: Solve for x
    x = 94,305,496,464/148,362
  6. Step 6: Final answer
    x = 635,644.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.