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Finding the Third Proportional to 184,915.50 and 393,661.50

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Solution

The third proportional to 184,915.50 and 393,661.50 is: 838,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,915.50 : 393,661.50 = 393,661.50 : x
  2. Step 2: Convert to fraction form
    184,915.50/393,661.50 = 393,661.50/x
  3. Step 3: Cross multiply
    184,915.50x = 393,661.50 × 393,661.50
  4. Step 4: Simplify right side
    184,915.50x = 154,969,376,582.25
  5. Step 5: Solve for x
    x = 154,969,376,582.25/184,915.50
  6. Step 6: Final answer
    x = 838,055.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.