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Finding the Third Proportional to 174,890.81 and 362,220.19

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Solution

The third proportional to 174,890.81 and 362,220.19 is: 750,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,890.81 : 362,220.19 = 362,220.19 : x
  2. Step 2: Convert to fraction form
    174,890.81/362,220.19 = 362,220.19/x
  3. Step 3: Cross multiply
    174,890.81x = 362,220.19 × 362,220.19
  4. Step 4: Simplify right side
    174,890.81x = 131,203,464,232.54
  5. Step 5: Solve for x
    x = 131,203,464,232.54/174,890.81
  6. Step 6: Final answer
    x = 750,202.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.