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Finding the Third Proportional to 142,812 and 311,017.50

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Solution

The third proportional to 142,812 and 311,017.50 is: 677,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812 : 311,017.50 = 311,017.50 : x
  2. Step 2: Convert to fraction form
    142,812/311,017.50 = 311,017.50/x
  3. Step 3: Cross multiply
    142,812x = 311,017.50 × 311,017.50
  4. Step 4: Simplify right side
    142,812x = 96,731,885,306.25
  5. Step 5: Solve for x
    x = 96,731,885,306.25/142,812
  6. Step 6: Final answer
    x = 677,337.24

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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.