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Finding the Third Proportional to 195,384 and 425,758.50

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Solution

The third proportional to 195,384 and 425,758.50 is: 927,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,384 : 425,758.50 = 425,758.50 : x
  2. Step 2: Convert to fraction form
    195,384/425,758.50 = 425,758.50/x
  3. Step 3: Cross multiply
    195,384x = 425,758.50 × 425,758.50
  4. Step 4: Simplify right side
    195,384x = 181,270,300,322.25
  5. Step 5: Solve for x
    x = 181,270,300,322.25/195,384
  6. Step 6: Final answer
    x = 927,764.30

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