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Finding the Third Proportional to 112,323 and 245,796

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Solution

The third proportional to 112,323 and 245,796 is: 537,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,323 : 245,796 = 245,796 : x
  2. Step 2: Convert to fraction form
    112,323/245,796 = 245,796/x
  3. Step 3: Cross multiply
    112,323x = 245,796 × 245,796
  4. Step 4: Simplify right side
    112,323x = 60,415,673,616
  5. Step 5: Solve for x
    x = 60,415,673,616/112,323
  6. Step 6: Final answer
    x = 537,874.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.