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Finding the Third Proportional to 86,308 and 184,609

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Solution

The third proportional to 86,308 and 184,609 is: 394,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,308 : 184,609 = 184,609 : x
  2. Step 2: Convert to fraction form
    86,308/184,609 = 184,609/x
  3. Step 3: Cross multiply
    86,308x = 184,609 × 184,609
  4. Step 4: Simplify right side
    86,308x = 34,080,482,881
  5. Step 5: Solve for x
    x = 34,080,482,881/86,308
  6. Step 6: Final answer
    x = 394,870.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.