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Finding the Third Proportional to 208,034 and 313,923

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Solution

The third proportional to 208,034 and 313,923 is: 473,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,034 : 313,923 = 313,923 : x
  2. Step 2: Convert to fraction form
    208,034/313,923 = 313,923/x
  3. Step 3: Cross multiply
    208,034x = 313,923 × 313,923
  4. Step 4: Simplify right side
    208,034x = 98,547,649,929
  5. Step 5: Solve for x
    x = 98,547,649,929/208,034
  6. Step 6: Final answer
    x = 473,709.35

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Why These Related Problems?

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