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Finding the Third Proportional to 236,292 and 358,809

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Solution

The third proportional to 236,292 and 358,809 is: 544,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,292 : 358,809 = 358,809 : x
  2. Step 2: Convert to fraction form
    236,292/358,809 = 358,809/x
  3. Step 3: Cross multiply
    236,292x = 358,809 × 358,809
  4. Step 4: Simplify right side
    236,292x = 128,743,898,481
  5. Step 5: Solve for x
    x = 128,743,898,481/236,292
  6. Step 6: Final answer
    x = 544,850.86

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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.