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Finding the Third Proportional to 164,274.75 and 239,952.94

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Solution

The third proportional to 164,274.75 and 239,952.94 is: 350,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,274.75 : 239,952.94 = 239,952.94 : x
  2. Step 2: Convert to fraction form
    164,274.75/239,952.94 = 239,952.94/x
  3. Step 3: Cross multiply
    164,274.75x = 239,952.94 × 239,952.94
  4. Step 4: Simplify right side
    164,274.75x = 57,577,412,214.88
  5. Step 5: Solve for x
    x = 57,577,412,214.88/164,274.75
  6. Step 6: Final answer
    x = 350,494.60

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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.