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Finding the Third Proportional to 197,364 and 432,288

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Solution

The third proportional to 197,364 and 432,288 is: 946,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,364 : 432,288 = 432,288 : x
  2. Step 2: Convert to fraction form
    197,364/432,288 = 432,288/x
  3. Step 3: Cross multiply
    197,364x = 432,288 × 432,288
  4. Step 4: Simplify right side
    197,364x = 186,872,914,944
  5. Step 5: Solve for x
    x = 186,872,914,944/197,364
  6. Step 6: Final answer
    x = 946,843.98

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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.