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Finding the Third Proportional to 187,974 and 395,658

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Solution

The third proportional to 187,974 and 395,658 is: 832,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,974 : 395,658 = 395,658 : x
  2. Step 2: Convert to fraction form
    187,974/395,658 = 395,658/x
  3. Step 3: Cross multiply
    187,974x = 395,658 × 395,658
  4. Step 4: Simplify right side
    187,974x = 156,545,252,964
  5. Step 5: Solve for x
    x = 156,545,252,964/187,974
  6. Step 6: Final answer
    x = 832,802.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.