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Finding the Third Proportional to 197,908 and 432,107

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Solution

The third proportional to 197,908 and 432,107 is: 943,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,908 : 432,107 = 432,107 : x
  2. Step 2: Convert to fraction form
    197,908/432,107 = 432,107/x
  3. Step 3: Cross multiply
    197,908x = 432,107 × 432,107
  4. Step 4: Simplify right side
    197,908x = 186,716,459,449
  5. Step 5: Solve for x
    x = 186,716,459,449/197,908
  6. Step 6: Final answer
    x = 943,450.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.