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Finding the Third Proportional to 195,057 and 425,835

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Solution

The third proportional to 195,057 and 425,835 is: 929,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,057 : 425,835 = 425,835 : x
  2. Step 2: Convert to fraction form
    195,057/425,835 = 425,835/x
  3. Step 3: Cross multiply
    195,057x = 425,835 × 425,835
  4. Step 4: Simplify right side
    195,057x = 181,335,447,225
  5. Step 5: Solve for x
    x = 181,335,447,225/195,057
  6. Step 6: Final answer
    x = 929,653.63

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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.