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Finding the Third Proportional to 162,605.25 and 231,133.50

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Solution

The third proportional to 162,605.25 and 231,133.50 is: 328,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,605.25 : 231,133.50 = 231,133.50 : x
  2. Step 2: Convert to fraction form
    162,605.25/231,133.50 = 231,133.50/x
  3. Step 3: Cross multiply
    162,605.25x = 231,133.50 × 231,133.50
  4. Step 4: Simplify right side
    162,605.25x = 53,422,694,822.25
  5. Step 5: Solve for x
    x = 53,422,694,822.25/162,605.25
  6. Step 6: Final answer
    x = 328,542.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.