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Finding the Third Proportional to 86,098.50 and 182,457

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Solution

The third proportional to 86,098.50 and 182,457 is: 386,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,098.50 : 182,457 = 182,457 : x
  2. Step 2: Convert to fraction form
    86,098.50/182,457 = 182,457/x
  3. Step 3: Cross multiply
    86,098.50x = 182,457 × 182,457
  4. Step 4: Simplify right side
    86,098.50x = 33,290,556,849
  5. Step 5: Solve for x
    x = 33,290,556,849/86,098.50
  6. Step 6: Final answer
    x = 386,656.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.