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Finding the Third Proportional to 269,135.75 and 433,636.50

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Solution

The third proportional to 269,135.75 and 433,636.50 is: 698,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,135.75 : 433,636.50 = 433,636.50 : x
  2. Step 2: Convert to fraction form
    269,135.75/433,636.50 = 433,636.50/x
  3. Step 3: Cross multiply
    269,135.75x = 433,636.50 × 433,636.50
  4. Step 4: Simplify right side
    269,135.75x = 188,040,614,132.25
  5. Step 5: Solve for x
    x = 188,040,614,132.25/269,135.75
  6. Step 6: Final answer
    x = 698,683.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.