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Finding the Third Proportional to 169,144 and 368,424

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Solution

The third proportional to 169,144 and 368,424 is: 802,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,144 : 368,424 = 368,424 : x
  2. Step 2: Convert to fraction form
    169,144/368,424 = 368,424/x
  3. Step 3: Cross multiply
    169,144x = 368,424 × 368,424
  4. Step 4: Simplify right side
    169,144x = 135,736,243,776
  5. Step 5: Solve for x
    x = 135,736,243,776/169,144
  6. Step 6: Final answer
    x = 802,489.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.