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Finding the Third Proportional to 197,110 and 432,392

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Solution

The third proportional to 197,110 and 432,392 is: 948,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,110 : 432,392 = 432,392 : x
  2. Step 2: Convert to fraction form
    197,110/432,392 = 432,392/x
  3. Step 3: Cross multiply
    197,110x = 432,392 × 432,392
  4. Step 4: Simplify right side
    197,110x = 186,962,841,664
  5. Step 5: Solve for x
    x = 186,962,841,664/197,110
  6. Step 6: Final answer
    x = 948,520.33

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