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Finding the Third Proportional to 120,817 and 284,285.50

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Solution

The third proportional to 120,817 and 284,285.50 is: 668,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,817 : 284,285.50 = 284,285.50 : x
  2. Step 2: Convert to fraction form
    120,817/284,285.50 = 284,285.50/x
  3. Step 3: Cross multiply
    120,817x = 284,285.50 × 284,285.50
  4. Step 4: Simplify right side
    120,817x = 80,818,245,510.25
  5. Step 5: Solve for x
    x = 80,818,245,510.25/120,817
  6. Step 6: Final answer
    x = 668,931.07

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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.