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Finding the Third Proportional to 74,434 and 160,529

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Solution

The third proportional to 74,434 and 160,529 is: 346,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,434 : 160,529 = 160,529 : x
  2. Step 2: Convert to fraction form
    74,434/160,529 = 160,529/x
  3. Step 3: Cross multiply
    74,434x = 160,529 × 160,529
  4. Step 4: Simplify right side
    74,434x = 25,769,559,841
  5. Step 5: Solve for x
    x = 25,769,559,841/74,434
  6. Step 6: Final answer
    x = 346,206.84

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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.