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Finding the Third Proportional to 109,302 and 160,257

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Solution

The third proportional to 109,302 and 160,257 is: 234,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302 : 160,257 = 160,257 : x
  2. Step 2: Convert to fraction form
    109,302/160,257 = 160,257/x
  3. Step 3: Cross multiply
    109,302x = 160,257 × 160,257
  4. Step 4: Simplify right side
    109,302x = 25,682,306,049
  5. Step 5: Solve for x
    x = 25,682,306,049/109,302
  6. Step 6: Final answer
    x = 234,966.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.