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Finding the Third Proportional to 236,552 and 353,976

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Solution

The third proportional to 236,552 and 353,976 is: 529,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,552 : 353,976 = 353,976 : x
  2. Step 2: Convert to fraction form
    236,552/353,976 = 353,976/x
  3. Step 3: Cross multiply
    236,552x = 353,976 × 353,976
  4. Step 4: Simplify right side
    236,552x = 125,299,008,576
  5. Step 5: Solve for x
    x = 125,299,008,576/236,552
  6. Step 6: Final answer
    x = 529,689.07

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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.