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Finding the Third Proportional to 236,203 and 358,679

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Solution

The third proportional to 236,203 and 358,679 is: 544,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,203 : 358,679 = 358,679 : x
  2. Step 2: Convert to fraction form
    236,203/358,679 = 358,679/x
  3. Step 3: Cross multiply
    236,203x = 358,679 × 358,679
  4. Step 4: Simplify right side
    236,203x = 128,650,625,041
  5. Step 5: Solve for x
    x = 128,650,625,041/236,203
  6. Step 6: Final answer
    x = 544,661.27

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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.