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Finding the Third Proportional to 85,434 and 183,498

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Solution

The third proportional to 85,434 and 183,498 is: 394,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434 : 183,498 = 183,498 : x
  2. Step 2: Convert to fraction form
    85,434/183,498 = 183,498/x
  3. Step 3: Cross multiply
    85,434x = 183,498 × 183,498
  4. Step 4: Simplify right side
    85,434x = 33,671,516,004
  5. Step 5: Solve for x
    x = 33,671,516,004/85,434
  6. Step 6: Final answer
    x = 394,123.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.