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Finding the Third Proportional to 116,257 and 170,233

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Solution

The third proportional to 116,257 and 170,233 is: 249,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,257 : 170,233 = 170,233 : x
  2. Step 2: Convert to fraction form
    116,257/170,233 = 170,233/x
  3. Step 3: Cross multiply
    116,257x = 170,233 × 170,233
  4. Step 4: Simplify right side
    116,257x = 28,979,274,289
  5. Step 5: Solve for x
    x = 28,979,274,289/116,257
  6. Step 6: Final answer
    x = 249,269.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.