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Finding the Third Proportional to 119,210 and 258,923

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Solution

The third proportional to 119,210 and 258,923 is: 562,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,210 : 258,923 = 258,923 : x
  2. Step 2: Convert to fraction form
    119,210/258,923 = 258,923/x
  3. Step 3: Cross multiply
    119,210x = 258,923 × 258,923
  4. Step 4: Simplify right side
    119,210x = 67,041,119,929
  5. Step 5: Solve for x
    x = 67,041,119,929/119,210
  6. Step 6: Final answer
    x = 562,378.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.