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Finding the Third Proportional to 171,988 and 258,990

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Solution

The third proportional to 171,988 and 258,990 is: 390,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,988 : 258,990 = 258,990 : x
  2. Step 2: Convert to fraction form
    171,988/258,990 = 258,990/x
  3. Step 3: Cross multiply
    171,988x = 258,990 × 258,990
  4. Step 4: Simplify right side
    171,988x = 67,075,820,100
  5. Step 5: Solve for x
    x = 67,075,820,100/171,988
  6. Step 6: Final answer
    x = 390,002.91

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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.