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Finding the Third Proportional to 112,884 and 248,988

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Solution

The third proportional to 112,884 and 248,988 is: 549,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,884 : 248,988 = 248,988 : x
  2. Step 2: Convert to fraction form
    112,884/248,988 = 248,988/x
  3. Step 3: Cross multiply
    112,884x = 248,988 × 248,988
  4. Step 4: Simplify right side
    112,884x = 61,995,024,144
  5. Step 5: Solve for x
    x = 61,995,024,144/112,884
  6. Step 6: Final answer
    x = 549,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.