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Finding the Third Proportional to 195,122 and 425,605

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Solution

The third proportional to 195,122 and 425,605 is: 928,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,122 : 425,605 = 425,605 : x
  2. Step 2: Convert to fraction form
    195,122/425,605 = 425,605/x
  3. Step 3: Cross multiply
    195,122x = 425,605 × 425,605
  4. Step 4: Simplify right side
    195,122x = 181,139,616,025
  5. Step 5: Solve for x
    x = 181,139,616,025/195,122
  6. Step 6: Final answer
    x = 928,340.30

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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.