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Finding the Third Proportional to 68,382 and 154,323

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Solution

The third proportional to 68,382 and 154,323 is: 348,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382 : 154,323 = 154,323 : x
  2. Step 2: Convert to fraction form
    68,382/154,323 = 154,323/x
  3. Step 3: Cross multiply
    68,382x = 154,323 × 154,323
  4. Step 4: Simplify right side
    68,382x = 23,815,588,329
  5. Step 5: Solve for x
    x = 23,815,588,329/68,382
  6. Step 6: Final answer
    x = 348,272.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.