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Finding the Third Proportional to 164,754 and 258,795

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Solution

The third proportional to 164,754 and 258,795 is: 406,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,754 : 258,795 = 258,795 : x
  2. Step 2: Convert to fraction form
    164,754/258,795 = 258,795/x
  3. Step 3: Cross multiply
    164,754x = 258,795 × 258,795
  4. Step 4: Simplify right side
    164,754x = 66,974,852,025
  5. Step 5: Solve for x
    x = 66,974,852,025/164,754
  6. Step 6: Final answer
    x = 406,514.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.