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Finding the Third Proportional to 143,622 and 312,508.50

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Solution

The third proportional to 143,622 and 312,508.50 is: 679,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622 : 312,508.50 = 312,508.50 : x
  2. Step 2: Convert to fraction form
    143,622/312,508.50 = 312,508.50/x
  3. Step 3: Cross multiply
    143,622x = 312,508.50 × 312,508.50
  4. Step 4: Simplify right side
    143,622x = 97,661,562,572.25
  5. Step 5: Solve for x
    x = 97,661,562,572.25/143,622
  6. Step 6: Final answer
    x = 679,990.27

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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.