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Finding the Third Proportional to 169,664 and 365,652

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Solution

The third proportional to 169,664 and 365,652 is: 788,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,664 : 365,652 = 365,652 : x
  2. Step 2: Convert to fraction form
    169,664/365,652 = 365,652/x
  3. Step 3: Cross multiply
    169,664x = 365,652 × 365,652
  4. Step 4: Simplify right side
    169,664x = 133,701,385,104
  5. Step 5: Solve for x
    x = 133,701,385,104/169,664
  6. Step 6: Final answer
    x = 788,036.27

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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.