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Finding the Third Proportional to 201,750.75 and 416,623.50

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Solution

The third proportional to 201,750.75 and 416,623.50 is: 860,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.75 : 416,623.50 = 416,623.50 : x
  2. Step 2: Convert to fraction form
    201,750.75/416,623.50 = 416,623.50/x
  3. Step 3: Cross multiply
    201,750.75x = 416,623.50 × 416,623.50
  4. Step 4: Simplify right side
    201,750.75x = 173,575,140,752.25
  5. Step 5: Solve for x
    x = 173,575,140,752.25/201,750.75
  6. Step 6: Final answer
    x = 860,344.46

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.