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Finding the Third Proportional to 189,333.56 and 405,263.81

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Solution

The third proportional to 189,333.56 and 405,263.81 is: 867,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,333.56 : 405,263.81 = 405,263.81 : x
  2. Step 2: Convert to fraction form
    189,333.56/405,263.81 = 405,263.81/x
  3. Step 3: Cross multiply
    189,333.56x = 405,263.81 × 405,263.81
  4. Step 4: Simplify right side
    189,333.56x = 164,238,757,722.04
  5. Step 5: Solve for x
    x = 164,238,757,722.04/189,333.56
  6. Step 6: Final answer
    x = 867,457.18

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Why These Related Problems?

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