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Finding the Third Proportional to 236,505 and 357,216

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Solution

The third proportional to 236,505 and 357,216 is: 539,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,505 : 357,216 = 357,216 : x
  2. Step 2: Convert to fraction form
    236,505/357,216 = 357,216/x
  3. Step 3: Cross multiply
    236,505x = 357,216 × 357,216
  4. Step 4: Simplify right side
    236,505x = 127,603,270,656
  5. Step 5: Solve for x
    x = 127,603,270,656/236,505
  6. Step 6: Final answer
    x = 539,537.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.