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Finding the Third Proportional to 120,817.50 and 284,259.75

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Solution

The third proportional to 120,817.50 and 284,259.75 is: 668,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,817.50 : 284,259.75 = 284,259.75 : x
  2. Step 2: Convert to fraction form
    120,817.50/284,259.75 = 284,259.75/x
  3. Step 3: Cross multiply
    120,817.50x = 284,259.75 × 284,259.75
  4. Step 4: Simplify right side
    120,817.50x = 80,803,605,470.06
  5. Step 5: Solve for x
    x = 80,803,605,470.06/120,817.50
  6. Step 6: Final answer
    x = 668,807.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.