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Finding the Third Proportional to 197,009 and 432,200

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Solution

The third proportional to 197,009 and 432,200 is: 948,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,009 : 432,200 = 432,200 : x
  2. Step 2: Convert to fraction form
    197,009/432,200 = 432,200/x
  3. Step 3: Cross multiply
    197,009x = 432,200 × 432,200
  4. Step 4: Simplify right side
    197,009x = 186,796,840,000
  5. Step 5: Solve for x
    x = 186,796,840,000/197,009
  6. Step 6: Final answer
    x = 948,163.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.