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Finding the Third Proportional to 149,878.50 and 326,190

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Solution

The third proportional to 149,878.50 and 326,190 is: 709,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,878.50 : 326,190 = 326,190 : x
  2. Step 2: Convert to fraction form
    149,878.50/326,190 = 326,190/x
  3. Step 3: Cross multiply
    149,878.50x = 326,190 × 326,190
  4. Step 4: Simplify right side
    149,878.50x = 106,399,916,100
  5. Step 5: Solve for x
    x = 106,399,916,100/149,878.50
  6. Step 6: Final answer
    x = 709,907.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.