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Finding the Third Proportional to 197,073 and 425,592

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Solution

The third proportional to 197,073 and 425,592 is: 919,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073 : 425,592 = 425,592 : x
  2. Step 2: Convert to fraction form
    197,073/425,592 = 425,592/x
  3. Step 3: Cross multiply
    197,073x = 425,592 × 425,592
  4. Step 4: Simplify right side
    197,073x = 181,128,550,464
  5. Step 5: Solve for x
    x = 181,128,550,464/197,073
  6. Step 6: Final answer
    x = 919,093.69

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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.