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Finding the Third Proportional to 90,752 and 197,250

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Solution

The third proportional to 90,752 and 197,250 is: 428,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,752 : 197,250 = 197,250 : x
  2. Step 2: Convert to fraction form
    90,752/197,250 = 197,250/x
  3. Step 3: Cross multiply
    90,752x = 197,250 × 197,250
  4. Step 4: Simplify right side
    90,752x = 38,907,562,500
  5. Step 5: Solve for x
    x = 38,907,562,500/90,752
  6. Step 6: Final answer
    x = 428,724.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.