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Finding the Third Proportional to 233,129 and 348,250

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Solution

The third proportional to 233,129 and 348,250 is: 520,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,129 : 348,250 = 348,250 : x
  2. Step 2: Convert to fraction form
    233,129/348,250 = 348,250/x
  3. Step 3: Cross multiply
    233,129x = 348,250 × 348,250
  4. Step 4: Simplify right side
    233,129x = 121,278,062,500
  5. Step 5: Solve for x
    x = 121,278,062,500/233,129
  6. Step 6: Final answer
    x = 520,218.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.