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Finding the Third Proportional to 197,644 and 432,194

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Solution

The third proportional to 197,644 and 432,194 is: 945,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,644 : 432,194 = 432,194 : x
  2. Step 2: Convert to fraction form
    197,644/432,194 = 432,194/x
  3. Step 3: Cross multiply
    197,644x = 432,194 × 432,194
  4. Step 4: Simplify right side
    197,644x = 186,791,653,636
  5. Step 5: Solve for x
    x = 186,791,653,636/197,644
  6. Step 6: Final answer
    x = 945,091.45

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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.