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Finding the Third Proportional to 121,249 and 263,485

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Solution

The third proportional to 121,249 and 263,485 is: 572,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,249 : 263,485 = 263,485 : x
  2. Step 2: Convert to fraction form
    121,249/263,485 = 263,485/x
  3. Step 3: Cross multiply
    121,249x = 263,485 × 263,485
  4. Step 4: Simplify right side
    121,249x = 69,424,345,225
  5. Step 5: Solve for x
    x = 69,424,345,225/121,249
  6. Step 6: Final answer
    x = 572,576.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.