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Finding the Third Proportional to 183,984.75 and 379,724.25

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Solution

The third proportional to 183,984.75 and 379,724.25 is: 783,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,984.75 : 379,724.25 = 379,724.25 : x
  2. Step 2: Convert to fraction form
    183,984.75/379,724.25 = 379,724.25/x
  3. Step 3: Cross multiply
    183,984.75x = 379,724.25 × 379,724.25
  4. Step 4: Simplify right side
    183,984.75x = 144,190,506,038.06
  5. Step 5: Solve for x
    x = 144,190,506,038.06/183,984.75
  6. Step 6: Final answer
    x = 783,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.