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Finding the Third Proportional to 218,486.25 and 467,334

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Solution

The third proportional to 218,486.25 and 467,334 is: 999,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,486.25 : 467,334 = 467,334 : x
  2. Step 2: Convert to fraction form
    218,486.25/467,334 = 467,334/x
  3. Step 3: Cross multiply
    218,486.25x = 467,334 × 467,334
  4. Step 4: Simplify right side
    218,486.25x = 218,401,067,556
  5. Step 5: Solve for x
    x = 218,401,067,556/218,486.25
  6. Step 6: Final answer
    x = 999,610.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.