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Finding the Third Proportional to 169,154 and 368,444

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Solution

The third proportional to 169,154 and 368,444 is: 802,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,154 : 368,444 = 368,444 : x
  2. Step 2: Convert to fraction form
    169,154/368,444 = 368,444/x
  3. Step 3: Cross multiply
    169,154x = 368,444 × 368,444
  4. Step 4: Simplify right side
    169,154x = 135,750,981,136
  5. Step 5: Solve for x
    x = 135,750,981,136/169,154
  6. Step 6: Final answer
    x = 802,528.94

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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.