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Finding the Third Proportional to 164,247 and 354,750

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Solution

The third proportional to 164,247 and 354,750 is: 766,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,247 : 354,750 = 354,750 : x
  2. Step 2: Convert to fraction form
    164,247/354,750 = 354,750/x
  3. Step 3: Cross multiply
    164,247x = 354,750 × 354,750
  4. Step 4: Simplify right side
    164,247x = 125,847,562,500
  5. Step 5: Solve for x
    x = 125,847,562,500/164,247
  6. Step 6: Final answer
    x = 766,209.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.