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Finding the Third Proportional to 203,552 and 434,157

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Solution

The third proportional to 203,552 and 434,157 is: 926,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,552 : 434,157 = 434,157 : x
  2. Step 2: Convert to fraction form
    203,552/434,157 = 434,157/x
  3. Step 3: Cross multiply
    203,552x = 434,157 × 434,157
  4. Step 4: Simplify right side
    203,552x = 188,492,300,649
  5. Step 5: Solve for x
    x = 188,492,300,649/203,552
  6. Step 6: Final answer
    x = 926,015.47

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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.