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Finding the Third Proportional to 169,798 and 369,081

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Solution

The third proportional to 169,798 and 369,081 is: 802,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,798 : 369,081 = 369,081 : x
  2. Step 2: Convert to fraction form
    169,798/369,081 = 369,081/x
  3. Step 3: Cross multiply
    169,798x = 369,081 × 369,081
  4. Step 4: Simplify right side
    169,798x = 136,220,784,561
  5. Step 5: Solve for x
    x = 136,220,784,561/169,798
  6. Step 6: Final answer
    x = 802,252.00

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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.