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Finding the Third Proportional to 178,173 and 384,193.50

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Solution

The third proportional to 178,173 and 384,193.50 is: 828,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,173 : 384,193.50 = 384,193.50 : x
  2. Step 2: Convert to fraction form
    178,173/384,193.50 = 384,193.50/x
  3. Step 3: Cross multiply
    178,173x = 384,193.50 × 384,193.50
  4. Step 4: Simplify right side
    178,173x = 147,604,645,442.25
  5. Step 5: Solve for x
    x = 147,604,645,442.25/178,173
  6. Step 6: Final answer
    x = 828,434.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.