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Finding the Third Proportional to 195,114 and 425,595

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Solution

The third proportional to 195,114 and 425,595 is: 928,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,114 : 425,595 = 425,595 : x
  2. Step 2: Convert to fraction form
    195,114/425,595 = 425,595/x
  3. Step 3: Cross multiply
    195,114x = 425,595 × 425,595
  4. Step 4: Simplify right side
    195,114x = 181,131,104,025
  5. Step 5: Solve for x
    x = 181,131,104,025/195,114
  6. Step 6: Final answer
    x = 928,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.