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Finding the Third Proportional to 162,933.75 and 340,762.75

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Solution

The third proportional to 162,933.75 and 340,762.75 is: 712,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,933.75 : 340,762.75 = 340,762.75 : x
  2. Step 2: Convert to fraction form
    162,933.75/340,762.75 = 340,762.75/x
  3. Step 3: Cross multiply
    162,933.75x = 340,762.75 × 340,762.75
  4. Step 4: Simplify right side
    162,933.75x = 116,119,251,787.56
  5. Step 5: Solve for x
    x = 116,119,251,787.56/162,933.75
  6. Step 6: Final answer
    x = 712,677.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.