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Finding the Third Proportional to 197,760 and 294,408

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Solution

The third proportional to 197,760 and 294,408 is: 438,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,760 : 294,408 = 294,408 : x
  2. Step 2: Convert to fraction form
    197,760/294,408 = 294,408/x
  3. Step 3: Cross multiply
    197,760x = 294,408 × 294,408
  4. Step 4: Simplify right side
    197,760x = 86,676,070,464
  5. Step 5: Solve for x
    x = 86,676,070,464/197,760
  6. Step 6: Final answer
    x = 438,289.19

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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.