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Finding the Third Proportional to 180,356.63 and 384,847.88

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Solution

The third proportional to 180,356.63 and 384,847.88 is: 821,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,356.63 : 384,847.88 = 384,847.88 : x
  2. Step 2: Convert to fraction form
    180,356.63/384,847.88 = 384,847.88/x
  3. Step 3: Cross multiply
    180,356.63x = 384,847.88 × 384,847.88
  4. Step 4: Simplify right side
    180,356.63x = 148,107,886,892.02
  5. Step 5: Solve for x
    x = 148,107,886,892.02/180,356.63
  6. Step 6: Final answer
    x = 821,194.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.