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Finding the Third Proportional to 158,480 and 324,250

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Solution

The third proportional to 158,480 and 324,250 is: 663,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,480 : 324,250 = 324,250 : x
  2. Step 2: Convert to fraction form
    158,480/324,250 = 324,250/x
  3. Step 3: Cross multiply
    158,480x = 324,250 × 324,250
  4. Step 4: Simplify right side
    158,480x = 105,138,062,500
  5. Step 5: Solve for x
    x = 105,138,062,500/158,480
  6. Step 6: Final answer
    x = 663,415.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.