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Finding the Third Proportional to 210,238 and 317,870

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Solution

The third proportional to 210,238 and 317,870 is: 480,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,238 : 317,870 = 317,870 : x
  2. Step 2: Convert to fraction form
    210,238/317,870 = 317,870/x
  3. Step 3: Cross multiply
    210,238x = 317,870 × 317,870
  4. Step 4: Simplify right side
    210,238x = 101,041,336,900
  5. Step 5: Solve for x
    x = 101,041,336,900/210,238
  6. Step 6: Final answer
    x = 480,604.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.