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Finding the Third Proportional to 197,224 and 295,498

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Solution

The third proportional to 197,224 and 295,498 is: 442,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,224 : 295,498 = 295,498 : x
  2. Step 2: Convert to fraction form
    197,224/295,498 = 295,498/x
  3. Step 3: Cross multiply
    197,224x = 295,498 × 295,498
  4. Step 4: Simplify right side
    197,224x = 87,319,068,004
  5. Step 5: Solve for x
    x = 87,319,068,004/197,224
  6. Step 6: Final answer
    x = 442,740.58

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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.