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Finding the Third Proportional to 179,746 and 275,072

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Solution

The third proportional to 179,746 and 275,072 is: 420,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,746 : 275,072 = 275,072 : x
  2. Step 2: Convert to fraction form
    179,746/275,072 = 275,072/x
  3. Step 3: Cross multiply
    179,746x = 275,072 × 275,072
  4. Step 4: Simplify right side
    179,746x = 75,664,605,184
  5. Step 5: Solve for x
    x = 75,664,605,184/179,746
  6. Step 6: Final answer
    x = 420,952.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.