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Finding the Third Proportional to 179,034 and 250,973

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Solution

The third proportional to 179,034 and 250,973 is: 351,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,034 : 250,973 = 250,973 : x
  2. Step 2: Convert to fraction form
    179,034/250,973 = 250,973/x
  3. Step 3: Cross multiply
    179,034x = 250,973 × 250,973
  4. Step 4: Simplify right side
    179,034x = 62,987,446,729
  5. Step 5: Solve for x
    x = 62,987,446,729/179,034
  6. Step 6: Final answer
    x = 351,818.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.