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Finding the Third Proportional to 172,490 and 276,958

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Solution

The third proportional to 172,490 and 276,958 is: 444,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,490 : 276,958 = 276,958 : x
  2. Step 2: Convert to fraction form
    172,490/276,958 = 276,958/x
  3. Step 3: Cross multiply
    172,490x = 276,958 × 276,958
  4. Step 4: Simplify right side
    172,490x = 76,705,733,764
  5. Step 5: Solve for x
    x = 76,705,733,764/172,490
  6. Step 6: Final answer
    x = 444,696.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.