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Finding the Third Proportional to 102,282 and 222,312

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Solution

The third proportional to 102,282 and 222,312 is: 483,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282 : 222,312 = 222,312 : x
  2. Step 2: Convert to fraction form
    102,282/222,312 = 222,312/x
  3. Step 3: Cross multiply
    102,282x = 222,312 × 222,312
  4. Step 4: Simplify right side
    102,282x = 49,422,625,344
  5. Step 5: Solve for x
    x = 49,422,625,344/102,282
  6. Step 6: Final answer
    x = 483,199.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.