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Finding the Third Proportional to 112,288.50 and 242,567.25

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Solution

The third proportional to 112,288.50 and 242,567.25 is: 523,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,288.50 : 242,567.25 = 242,567.25 : x
  2. Step 2: Convert to fraction form
    112,288.50/242,567.25 = 242,567.25/x
  3. Step 3: Cross multiply
    112,288.50x = 242,567.25 × 242,567.25
  4. Step 4: Simplify right side
    112,288.50x = 58,838,870,772.56
  5. Step 5: Solve for x
    x = 58,838,870,772.56/112,288.50
  6. Step 6: Final answer
    x = 523,997.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.