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Finding the Third Proportional to 197,646 and 295,929

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Solution

The third proportional to 197,646 and 295,929 is: 443,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,646 : 295,929 = 295,929 : x
  2. Step 2: Convert to fraction form
    197,646/295,929 = 295,929/x
  3. Step 3: Cross multiply
    197,646x = 295,929 × 295,929
  4. Step 4: Simplify right side
    197,646x = 87,573,973,041
  5. Step 5: Solve for x
    x = 87,573,973,041/197,646
  6. Step 6: Final answer
    x = 443,084.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.