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Finding the Third Proportional to 197,556 and 425,072

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Solution

The third proportional to 197,556 and 425,072 is: 914,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,556 : 425,072 = 425,072 : x
  2. Step 2: Convert to fraction form
    197,556/425,072 = 425,072/x
  3. Step 3: Cross multiply
    197,556x = 425,072 × 425,072
  4. Step 4: Simplify right side
    197,556x = 180,686,205,184
  5. Step 5: Solve for x
    x = 180,686,205,184/197,556
  6. Step 6: Final answer
    x = 914,607.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.