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Finding the Third Proportional to 197,220 and 295,492

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Solution

The third proportional to 197,220 and 295,492 is: 442,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,220 : 295,492 = 295,492 : x
  2. Step 2: Convert to fraction form
    197,220/295,492 = 295,492/x
  3. Step 3: Cross multiply
    197,220x = 295,492 × 295,492
  4. Step 4: Simplify right side
    197,220x = 87,315,522,064
  5. Step 5: Solve for x
    x = 87,315,522,064/197,220
  6. Step 6: Final answer
    x = 442,731.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.