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Finding the Third Proportional to 120,024.75 and 261,649.50

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Solution

The third proportional to 120,024.75 and 261,649.50 is: 570,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024.75 : 261,649.50 = 261,649.50 : x
  2. Step 2: Convert to fraction form
    120,024.75/261,649.50 = 261,649.50/x
  3. Step 3: Cross multiply
    120,024.75x = 261,649.50 × 261,649.50
  4. Step 4: Simplify right side
    120,024.75x = 68,460,460,850.25
  5. Step 5: Solve for x
    x = 68,460,460,850.25/120,024.75
  6. Step 6: Final answer
    x = 570,386.20

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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.