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Finding the Third Proportional to 189,464.06 and 409,287.94

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Solution

The third proportional to 189,464.06 and 409,287.94 is: 884,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,464.06 : 409,287.94 = 409,287.94 : x
  2. Step 2: Convert to fraction form
    189,464.06/409,287.94 = 409,287.94/x
  3. Step 3: Cross multiply
    189,464.06x = 409,287.94 × 409,287.94
  4. Step 4: Simplify right side
    189,464.06x = 167,516,615,783.00
  5. Step 5: Solve for x
    x = 167,516,615,783.00/189,464.06
  6. Step 6: Final answer
    x = 884,160.37

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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.