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Finding the Third Proportional to 112,970.25 and 243,450

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Solution

The third proportional to 112,970.25 and 243,450 is: 524,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970.25 : 243,450 = 243,450 : x
  2. Step 2: Convert to fraction form
    112,970.25/243,450 = 243,450/x
  3. Step 3: Cross multiply
    112,970.25x = 243,450 × 243,450
  4. Step 4: Simplify right side
    112,970.25x = 59,267,902,500
  5. Step 5: Solve for x
    x = 59,267,902,500/112,970.25
  6. Step 6: Final answer
    x = 524,632.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.