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Finding the Third Proportional to 133,811 and 293,854

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Solution

The third proportional to 133,811 and 293,854 is: 645,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,811 : 293,854 = 293,854 : x
  2. Step 2: Convert to fraction form
    133,811/293,854 = 293,854/x
  3. Step 3: Cross multiply
    133,811x = 293,854 × 293,854
  4. Step 4: Simplify right side
    133,811x = 86,350,173,316
  5. Step 5: Solve for x
    x = 86,350,173,316/133,811
  6. Step 6: Final answer
    x = 645,314.46

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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.