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Finding the Third Proportional to 222,122 and 353,275

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Solution

The third proportional to 222,122 and 353,275 is: 561,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,122 : 353,275 = 353,275 : x
  2. Step 2: Convert to fraction form
    222,122/353,275 = 353,275/x
  3. Step 3: Cross multiply
    222,122x = 353,275 × 353,275
  4. Step 4: Simplify right side
    222,122x = 124,803,225,625
  5. Step 5: Solve for x
    x = 124,803,225,625/222,122
  6. Step 6: Final answer
    x = 561,867.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.