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Finding the Third Proportional to 86,984 and 188,358

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Solution

The third proportional to 86,984 and 188,358 is: 407,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 188,358 = 188,358 : x
  2. Step 2: Convert to fraction form
    86,984/188,358 = 188,358/x
  3. Step 3: Cross multiply
    86,984x = 188,358 × 188,358
  4. Step 4: Simplify right side
    86,984x = 35,478,736,164
  5. Step 5: Solve for x
    x = 35,478,736,164/86,984
  6. Step 6: Final answer
    x = 407,876.58

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Why These Related Problems?

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