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Finding the Third Proportional to 167,024 and 258,312

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Solution

The third proportional to 167,024 and 258,312 is: 399,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,024 : 258,312 = 258,312 : x
  2. Step 2: Convert to fraction form
    167,024/258,312 = 258,312/x
  3. Step 3: Cross multiply
    167,024x = 258,312 × 258,312
  4. Step 4: Simplify right side
    167,024x = 66,725,089,344
  5. Step 5: Solve for x
    x = 66,725,089,344/167,024
  6. Step 6: Final answer
    x = 399,494.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.