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Finding the Third Proportional to 115,529 and 248,248

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Solution

The third proportional to 115,529 and 248,248 is: 533,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,529 : 248,248 = 248,248 : x
  2. Step 2: Convert to fraction form
    115,529/248,248 = 248,248/x
  3. Step 3: Cross multiply
    115,529x = 248,248 × 248,248
  4. Step 4: Simplify right side
    115,529x = 61,627,069,504
  5. Step 5: Solve for x
    x = 61,627,069,504/115,529
  6. Step 6: Final answer
    x = 533,433.77

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Why These Related Problems?

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