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Finding the Third Proportional to 173,928.50 and 369,180

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Solution

The third proportional to 173,928.50 and 369,180 is: 783,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,928.50 : 369,180 = 369,180 : x
  2. Step 2: Convert to fraction form
    173,928.50/369,180 = 369,180/x
  3. Step 3: Cross multiply
    173,928.50x = 369,180 × 369,180
  4. Step 4: Simplify right side
    173,928.50x = 136,293,872,400
  5. Step 5: Solve for x
    x = 136,293,872,400/173,928.50
  6. Step 6: Final answer
    x = 783,620.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.