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Finding the Third Proportional to 197,646 and 434,655

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Solution

The third proportional to 197,646 and 434,655 is: 955,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,646 : 434,655 = 434,655 : x
  2. Step 2: Convert to fraction form
    197,646/434,655 = 434,655/x
  3. Step 3: Cross multiply
    197,646x = 434,655 × 434,655
  4. Step 4: Simplify right side
    197,646x = 188,924,969,025
  5. Step 5: Solve for x
    x = 188,924,969,025/197,646
  6. Step 6: Final answer
    x = 955,875.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.