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Finding the Third Proportional to 174,660 and 245,892

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Solution

The third proportional to 174,660 and 245,892 is: 346,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,660 : 245,892 = 245,892 : x
  2. Step 2: Convert to fraction form
    174,660/245,892 = 245,892/x
  3. Step 3: Cross multiply
    174,660x = 245,892 × 245,892
  4. Step 4: Simplify right side
    174,660x = 60,462,875,664
  5. Step 5: Solve for x
    x = 60,462,875,664/174,660
  6. Step 6: Final answer
    x = 346,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.