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Finding the Third Proportional to 197,194 and 431,706

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Solution

The third proportional to 197,194 and 431,706 is: 945,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,194 : 431,706 = 431,706 : x
  2. Step 2: Convert to fraction form
    197,194/431,706 = 431,706/x
  3. Step 3: Cross multiply
    197,194x = 431,706 × 431,706
  4. Step 4: Simplify right side
    197,194x = 186,370,070,436
  5. Step 5: Solve for x
    x = 186,370,070,436/197,194
  6. Step 6: Final answer
    x = 945,110.25

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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.