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Finding the Third Proportional to 199,173 and 298,975.50

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Solution

The third proportional to 199,173 and 298,975.50 is: 448,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,173 : 298,975.50 = 298,975.50 : x
  2. Step 2: Convert to fraction form
    199,173/298,975.50 = 298,975.50/x
  3. Step 3: Cross multiply
    199,173x = 298,975.50 × 298,975.50
  4. Step 4: Simplify right side
    199,173x = 89,386,349,600.25
  5. Step 5: Solve for x
    x = 89,386,349,600.25/199,173
  6. Step 6: Final answer
    x = 448,787.48

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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.