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Finding the Third Proportional to 164,301.75 and 239,986.50

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Solution

The third proportional to 164,301.75 and 239,986.50 is: 350,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,301.75 : 239,986.50 = 239,986.50 : x
  2. Step 2: Convert to fraction form
    164,301.75/239,986.50 = 239,986.50/x
  3. Step 3: Cross multiply
    164,301.75x = 239,986.50 × 239,986.50
  4. Step 4: Simplify right side
    164,301.75x = 57,593,520,182.25
  5. Step 5: Solve for x
    x = 57,593,520,182.25/164,301.75
  6. Step 6: Final answer
    x = 350,535.04

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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.