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Finding the Third Proportional to 131,205 and 275,629.50

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Solution

The third proportional to 131,205 and 275,629.50 is: 579,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,205 : 275,629.50 = 275,629.50 : x
  2. Step 2: Convert to fraction form
    131,205/275,629.50 = 275,629.50/x
  3. Step 3: Cross multiply
    131,205x = 275,629.50 × 275,629.50
  4. Step 4: Simplify right side
    131,205x = 75,971,621,270.25
  5. Step 5: Solve for x
    x = 75,971,621,270.25/131,205
  6. Step 6: Final answer
    x = 579,029.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.