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Finding the Third Proportional to 74,455 and 159,298

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Solution

The third proportional to 74,455 and 159,298 is: 340,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,455 : 159,298 = 159,298 : x
  2. Step 2: Convert to fraction form
    74,455/159,298 = 159,298/x
  3. Step 3: Cross multiply
    74,455x = 159,298 × 159,298
  4. Step 4: Simplify right side
    74,455x = 25,375,852,804
  5. Step 5: Solve for x
    x = 25,375,852,804/74,455
  6. Step 6: Final answer
    x = 340,821.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.