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Finding the Third Proportional to 195,120 and 425,607

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Solution

The third proportional to 195,120 and 425,607 is: 928,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,120 : 425,607 = 425,607 : x
  2. Step 2: Convert to fraction form
    195,120/425,607 = 425,607/x
  3. Step 3: Cross multiply
    195,120x = 425,607 × 425,607
  4. Step 4: Simplify right side
    195,120x = 181,141,318,449
  5. Step 5: Solve for x
    x = 181,141,318,449/195,120
  6. Step 6: Final answer
    x = 928,358.54

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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.