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Finding the Third Proportional to 236,588 and 357,334

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Solution

The third proportional to 236,588 and 357,334 is: 539,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,588 : 357,334 = 357,334 : x
  2. Step 2: Convert to fraction form
    236,588/357,334 = 357,334/x
  3. Step 3: Cross multiply
    236,588x = 357,334 × 357,334
  4. Step 4: Simplify right side
    236,588x = 127,687,587,556
  5. Step 5: Solve for x
    x = 127,687,587,556/236,588
  6. Step 6: Final answer
    x = 539,704.41

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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.