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Finding the Third Proportional to 197,536 and 425,960

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Solution

The third proportional to 197,536 and 425,960 is: 918,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,536 : 425,960 = 425,960 : x
  2. Step 2: Convert to fraction form
    197,536/425,960 = 425,960/x
  3. Step 3: Cross multiply
    197,536x = 425,960 × 425,960
  4. Step 4: Simplify right side
    197,536x = 181,441,921,600
  5. Step 5: Solve for x
    x = 181,441,921,600/197,536
  6. Step 6: Final answer
    x = 918,525.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.