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Finding the Third Proportional to 165,431 and 350,362

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Solution

The third proportional to 165,431 and 350,362 is: 742,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,431 : 350,362 = 350,362 : x
  2. Step 2: Convert to fraction form
    165,431/350,362 = 350,362/x
  3. Step 3: Cross multiply
    165,431x = 350,362 × 350,362
  4. Step 4: Simplify right side
    165,431x = 122,753,531,044
  5. Step 5: Solve for x
    x = 122,753,531,044/165,431
  6. Step 6: Final answer
    x = 742,022.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.