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Finding the Third Proportional to 170,724 and 258,434

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Solution

The third proportional to 170,724 and 258,434 is: 391,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,724 : 258,434 = 258,434 : x
  2. Step 2: Convert to fraction form
    170,724/258,434 = 258,434/x
  3. Step 3: Cross multiply
    170,724x = 258,434 × 258,434
  4. Step 4: Simplify right side
    170,724x = 66,788,132,356
  5. Step 5: Solve for x
    x = 66,788,132,356/170,724
  6. Step 6: Final answer
    x = 391,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.