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Finding the Third Proportional to 186,912 and 415,296

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Solution

The third proportional to 186,912 and 415,296 is: 922,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 415,296 = 415,296 : x
  2. Step 2: Convert to fraction form
    186,912/415,296 = 415,296/x
  3. Step 3: Cross multiply
    186,912x = 415,296 × 415,296
  4. Step 4: Simplify right side
    186,912x = 172,470,767,616
  5. Step 5: Solve for x
    x = 172,470,767,616/186,912
  6. Step 6: Final answer
    x = 922,737.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.