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Finding the Third Proportional to 84,321 and 180,596.25

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Solution

The third proportional to 84,321 and 180,596.25 is: 386,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,321 : 180,596.25 = 180,596.25 : x
  2. Step 2: Convert to fraction form
    84,321/180,596.25 = 180,596.25/x
  3. Step 3: Cross multiply
    84,321x = 180,596.25 × 180,596.25
  4. Step 4: Simplify right side
    84,321x = 32,615,005,514.06
  5. Step 5: Solve for x
    x = 32,615,005,514.06/84,321
  6. Step 6: Final answer
    x = 386,795.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.