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Finding the Third Proportional to 195,051.38 and 425,823.75

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Solution

The third proportional to 195,051.38 and 425,823.75 is: 929,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,051.38 : 425,823.75 = 425,823.75 : x
  2. Step 2: Convert to fraction form
    195,051.38/425,823.75 = 425,823.75/x
  3. Step 3: Cross multiply
    195,051.38x = 425,823.75 × 425,823.75
  4. Step 4: Simplify right side
    195,051.38x = 181,325,866,064.06
  5. Step 5: Solve for x
    x = 181,325,866,064.06/195,051.38
  6. Step 6: Final answer
    x = 929,631.31

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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.