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Finding the Third Proportional to 227,903.63 and 423,280.69

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Solution

The third proportional to 227,903.63 and 423,280.69 is: 786,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903.63 : 423,280.69 = 423,280.69 : x
  2. Step 2: Convert to fraction form
    227,903.63/423,280.69 = 423,280.69/x
  3. Step 3: Cross multiply
    227,903.63x = 423,280.69 × 423,280.69
  4. Step 4: Simplify right side
    227,903.63x = 179,166,540,410.47
  5. Step 5: Solve for x
    x = 179,166,540,410.47/227,903.63
  6. Step 6: Final answer
    x = 786,150.46

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.