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Finding the Third Proportional to 189,256.66 and 416,918.23

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Solution

The third proportional to 189,256.66 and 416,918.23 is: 918,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,256.66 : 416,918.23 = 416,918.23 : x
  2. Step 2: Convert to fraction form
    189,256.66/416,918.23 = 416,918.23/x
  3. Step 3: Cross multiply
    189,256.66x = 416,918.23 × 416,918.23
  4. Step 4: Simplify right side
    189,256.66x = 173,820,812,525.77
  5. Step 5: Solve for x
    x = 173,820,812,525.77/189,256.66
  6. Step 6: Final answer
    x = 918,439.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.