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Finding the Third Proportional to 179,023 and 250,957

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Solution

The third proportional to 179,023 and 250,957 is: 351,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,023 : 250,957 = 250,957 : x
  2. Step 2: Convert to fraction form
    179,023/250,957 = 250,957/x
  3. Step 3: Cross multiply
    179,023x = 250,957 × 250,957
  4. Step 4: Simplify right side
    179,023x = 62,979,415,849
  5. Step 5: Solve for x
    x = 62,979,415,849/179,023
  6. Step 6: Final answer
    x = 351,795.11

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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.