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Finding the Third Proportional to 185,259.66 and 398,606.06

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Solution

The third proportional to 185,259.66 and 398,606.06 is: 857,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,259.66 : 398,606.06 = 398,606.06 : x
  2. Step 2: Convert to fraction form
    185,259.66/398,606.06 = 398,606.06/x
  3. Step 3: Cross multiply
    185,259.66x = 398,606.06 × 398,606.06
  4. Step 4: Simplify right side
    185,259.66x = 158,886,793,061.75
  5. Step 5: Solve for x
    x = 158,886,793,061.75/185,259.66
  6. Step 6: Final answer
    x = 857,643.79

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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.