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Finding the Third Proportional to 88,458 and 194,289

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Solution

The third proportional to 88,458 and 194,289 is: 426,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,458 : 194,289 = 194,289 : x
  2. Step 2: Convert to fraction form
    88,458/194,289 = 194,289/x
  3. Step 3: Cross multiply
    88,458x = 194,289 × 194,289
  4. Step 4: Simplify right side
    88,458x = 37,748,215,521
  5. Step 5: Solve for x
    x = 37,748,215,521/88,458
  6. Step 6: Final answer
    x = 426,736.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.