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Finding the Third Proportional to 184,695.19 and 398,914.88

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Solution

The third proportional to 184,695.19 and 398,914.88 is: 861,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,695.19 : 398,914.88 = 398,914.88 : x
  2. Step 2: Convert to fraction form
    184,695.19/398,914.88 = 398,914.88/x
  3. Step 3: Cross multiply
    184,695.19x = 398,914.88 × 398,914.88
  4. Step 4: Simplify right side
    184,695.19x = 159,133,077,496.27
  5. Step 5: Solve for x
    x = 159,133,077,496.27/184,695.19
  6. Step 6: Final answer
    x = 861,598.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.