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Finding the Third Proportional to 164,436 and 245,993.50

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Solution

The third proportional to 164,436 and 245,993.50 is: 368,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,436 : 245,993.50 = 245,993.50 : x
  2. Step 2: Convert to fraction form
    164,436/245,993.50 = 245,993.50/x
  3. Step 3: Cross multiply
    164,436x = 245,993.50 × 245,993.50
  4. Step 4: Simplify right side
    164,436x = 60,512,802,042.25
  5. Step 5: Solve for x
    x = 60,512,802,042.25/164,436
  6. Step 6: Final answer
    x = 368,002.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.