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Finding the Third Proportional to 230,292 and 351,009

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Solution

The third proportional to 230,292 and 351,009 is: 535,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,292 : 351,009 = 351,009 : x
  2. Step 2: Convert to fraction form
    230,292/351,009 = 351,009/x
  3. Step 3: Cross multiply
    230,292x = 351,009 × 351,009
  4. Step 4: Simplify right side
    230,292x = 123,207,318,081
  5. Step 5: Solve for x
    x = 123,207,318,081/230,292
  6. Step 6: Final answer
    x = 535,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.