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Finding the Third Proportional to 174,975.19 and 360,991.69

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Solution

The third proportional to 174,975.19 and 360,991.69 is: 744,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,975.19 : 360,991.69 = 360,991.69 : x
  2. Step 2: Convert to fraction form
    174,975.19/360,991.69 = 360,991.69/x
  3. Step 3: Cross multiply
    174,975.19x = 360,991.69 × 360,991.69
  4. Step 4: Simplify right side
    174,975.19x = 130,314,998,444.10
  5. Step 5: Solve for x
    x = 130,314,998,444.10/174,975.19
  6. Step 6: Final answer
    x = 744,762.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.