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Finding the Third Proportional to 197,642 and 432,190

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Solution

The third proportional to 197,642 and 432,190 is: 945,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,642 : 432,190 = 432,190 : x
  2. Step 2: Convert to fraction form
    197,642/432,190 = 432,190/x
  3. Step 3: Cross multiply
    197,642x = 432,190 × 432,190
  4. Step 4: Simplify right side
    197,642x = 186,788,196,100
  5. Step 5: Solve for x
    x = 186,788,196,100/197,642
  6. Step 6: Final answer
    x = 945,083.52

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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.