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Finding the Third Proportional to 84,730.22 and 182,582.44

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Solution

The third proportional to 84,730.22 and 182,582.44 is: 393,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730.22 : 182,582.44 = 182,582.44 : x
  2. Step 2: Convert to fraction form
    84,730.22/182,582.44 = 182,582.44/x
  3. Step 3: Cross multiply
    84,730.22x = 182,582.44 × 182,582.44
  4. Step 4: Simplify right side
    84,730.22x = 33,336,346,483.44
  5. Step 5: Solve for x
    x = 33,336,346,483.44/84,730.22
  6. Step 6: Final answer
    x = 393,441.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.