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Finding the Third Proportional to 197,397 and 294,780

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Solution

The third proportional to 197,397 and 294,780 is: 440,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,397 : 294,780 = 294,780 : x
  2. Step 2: Convert to fraction form
    197,397/294,780 = 294,780/x
  3. Step 3: Cross multiply
    197,397x = 294,780 × 294,780
  4. Step 4: Simplify right side
    197,397x = 86,895,248,400
  5. Step 5: Solve for x
    x = 86,895,248,400/197,397
  6. Step 6: Final answer
    x = 440,205.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.