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Finding the Third Proportional to 169,496 and 365,644

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Solution

The third proportional to 169,496 and 365,644 is: 788,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496 : 365,644 = 365,644 : x
  2. Step 2: Convert to fraction form
    169,496/365,644 = 365,644/x
  3. Step 3: Cross multiply
    169,496x = 365,644 × 365,644
  4. Step 4: Simplify right side
    169,496x = 133,695,534,736
  5. Step 5: Solve for x
    x = 133,695,534,736/169,496
  6. Step 6: Final answer
    x = 788,782.83

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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.