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Finding the Third Proportional to 236,532 and 347,868

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Solution

The third proportional to 236,532 and 347,868 is: 511,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,532 : 347,868 = 347,868 : x
  2. Step 2: Convert to fraction form
    236,532/347,868 = 347,868/x
  3. Step 3: Cross multiply
    236,532x = 347,868 × 347,868
  4. Step 4: Simplify right side
    236,532x = 121,012,145,424
  5. Step 5: Solve for x
    x = 121,012,145,424/236,532
  6. Step 6: Final answer
    x = 511,610.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.