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Finding the Third Proportional to 195,495.75 and 425,983.50

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Solution

The third proportional to 195,495.75 and 425,983.50 is: 928,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,495.75 : 425,983.50 = 425,983.50 : x
  2. Step 2: Convert to fraction form
    195,495.75/425,983.50 = 425,983.50/x
  3. Step 3: Cross multiply
    195,495.75x = 425,983.50 × 425,983.50
  4. Step 4: Simplify right side
    195,495.75x = 181,461,942,272.25
  5. Step 5: Solve for x
    x = 181,461,942,272.25/195,495.75
  6. Step 6: Final answer
    x = 928,214.26

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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.