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Finding the Third Proportional to 169,790 and 369,064

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Solution

The third proportional to 169,790 and 369,064 is: 802,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,790 : 369,064 = 369,064 : x
  2. Step 2: Convert to fraction form
    169,790/369,064 = 369,064/x
  3. Step 3: Cross multiply
    169,790x = 369,064 × 369,064
  4. Step 4: Simplify right side
    169,790x = 136,208,236,096
  5. Step 5: Solve for x
    x = 136,208,236,096/169,790
  6. Step 6: Final answer
    x = 802,215.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.