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Finding the Third Proportional to 197,384 and 292,674

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Solution

The third proportional to 197,384 and 292,674 is: 433,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,384 : 292,674 = 292,674 : x
  2. Step 2: Convert to fraction form
    197,384/292,674 = 292,674/x
  3. Step 3: Cross multiply
    197,384x = 292,674 × 292,674
  4. Step 4: Simplify right side
    197,384x = 85,658,070,276
  5. Step 5: Solve for x
    x = 85,658,070,276/197,384
  6. Step 6: Final answer
    x = 433,966.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.