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Finding the Third Proportional to 104,610 and 230,334

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Solution

The third proportional to 104,610 and 230,334 is: 507,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,610 : 230,334 = 230,334 : x
  2. Step 2: Convert to fraction form
    104,610/230,334 = 230,334/x
  3. Step 3: Cross multiply
    104,610x = 230,334 × 230,334
  4. Step 4: Simplify right side
    104,610x = 53,053,751,556
  5. Step 5: Solve for x
    x = 53,053,751,556/104,610
  6. Step 6: Final answer
    x = 507,157.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.