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Finding the Third Proportional to 86,402 and 184,788

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Solution

The third proportional to 86,402 and 184,788 is: 395,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402 : 184,788 = 184,788 : x
  2. Step 2: Convert to fraction form
    86,402/184,788 = 184,788/x
  3. Step 3: Cross multiply
    86,402x = 184,788 × 184,788
  4. Step 4: Simplify right side
    86,402x = 34,146,604,944
  5. Step 5: Solve for x
    x = 34,146,604,944/86,402
  6. Step 6: Final answer
    x = 395,206.19

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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.