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Finding the Third Proportional to 102,953 and 222,307

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Solution

The third proportional to 102,953 and 222,307 is: 480,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,953 : 222,307 = 222,307 : x
  2. Step 2: Convert to fraction form
    102,953/222,307 = 222,307/x
  3. Step 3: Cross multiply
    102,953x = 222,307 × 222,307
  4. Step 4: Simplify right side
    102,953x = 49,420,402,249
  5. Step 5: Solve for x
    x = 49,420,402,249/102,953
  6. Step 6: Final answer
    x = 480,028.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.