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Finding the Third Proportional to 112,360 and 259,460

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Solution

The third proportional to 112,360 and 259,460 is: 599,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,360 : 259,460 = 259,460 : x
  2. Step 2: Convert to fraction form
    112,360/259,460 = 259,460/x
  3. Step 3: Cross multiply
    112,360x = 259,460 × 259,460
  4. Step 4: Simplify right side
    112,360x = 67,319,491,600
  5. Step 5: Solve for x
    x = 67,319,491,600/112,360
  6. Step 6: Final answer
    x = 599,141.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.