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Finding the Third Proportional to 158,274 and 322,411

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Solution

The third proportional to 158,274 and 322,411 is: 656,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274 : 322,411 = 322,411 : x
  2. Step 2: Convert to fraction form
    158,274/322,411 = 322,411/x
  3. Step 3: Cross multiply
    158,274x = 322,411 × 322,411
  4. Step 4: Simplify right side
    158,274x = 103,948,852,921
  5. Step 5: Solve for x
    x = 103,948,852,921/158,274
  6. Step 6: Final answer
    x = 656,765.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.