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Finding the Third Proportional to 84,218.63 and 182,457

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Solution

The third proportional to 84,218.63 and 182,457 is: 395,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.63 : 182,457 = 182,457 : x
  2. Step 2: Convert to fraction form
    84,218.63/182,457 = 182,457/x
  3. Step 3: Cross multiply
    84,218.63x = 182,457 × 182,457
  4. Step 4: Simplify right side
    84,218.63x = 33,290,556,849
  5. Step 5: Solve for x
    x = 33,290,556,849/84,218.63
  6. Step 6: Final answer
    x = 395,287.35

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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.