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Finding the Third Proportional to 169,776 and 369,036

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Solution

The third proportional to 169,776 and 369,036 is: 802,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,776 : 369,036 = 369,036 : x
  2. Step 2: Convert to fraction form
    169,776/369,036 = 369,036/x
  3. Step 3: Cross multiply
    169,776x = 369,036 × 369,036
  4. Step 4: Simplify right side
    169,776x = 136,187,569,296
  5. Step 5: Solve for x
    x = 136,187,569,296/169,776
  6. Step 6: Final answer
    x = 802,160.31

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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.