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Finding the Third Proportional to 233,102 and 350,301

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Solution

The third proportional to 233,102 and 350,301 is: 526,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102 : 350,301 = 350,301 : x
  2. Step 2: Convert to fraction form
    233,102/350,301 = 350,301/x
  3. Step 3: Cross multiply
    233,102x = 350,301 × 350,301
  4. Step 4: Simplify right side
    233,102x = 122,710,790,601
  5. Step 5: Solve for x
    x = 122,710,790,601/233,102
  6. Step 6: Final answer
    x = 526,425.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.