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Finding the Third Proportional to 116,958 and 188,358

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Solution

The third proportional to 116,958 and 188,358 is: 303,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,958 : 188,358 = 188,358 : x
  2. Step 2: Convert to fraction form
    116,958/188,358 = 188,358/x
  3. Step 3: Cross multiply
    116,958x = 188,358 × 188,358
  4. Step 4: Simplify right side
    116,958x = 35,478,736,164
  5. Step 5: Solve for x
    x = 35,478,736,164/116,958
  6. Step 6: Final answer
    x = 303,345.95

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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.