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Finding the Third Proportional to 164,300.91 and 239,987.81

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Solution

The third proportional to 164,300.91 and 239,987.81 is: 350,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,300.91 : 239,987.81 = 239,987.81 : x
  2. Step 2: Convert to fraction form
    164,300.91/239,987.81 = 239,987.81/x
  3. Step 3: Cross multiply
    164,300.91x = 239,987.81 × 239,987.81
  4. Step 4: Simplify right side
    164,300.91x = 57,594,150,148.54
  5. Step 5: Solve for x
    x = 57,594,150,148.54/164,300.91
  6. Step 6: Final answer
    x = 350,540.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.