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Finding the Third Proportional to 112,896 and 245,229

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Solution

The third proportional to 112,896 and 245,229 is: 532,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,896 : 245,229 = 245,229 : x
  2. Step 2: Convert to fraction form
    112,896/245,229 = 245,229/x
  3. Step 3: Cross multiply
    112,896x = 245,229 × 245,229
  4. Step 4: Simplify right side
    112,896x = 60,137,262,441
  5. Step 5: Solve for x
    x = 60,137,262,441/112,896
  6. Step 6: Final answer
    x = 532,678.42

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