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Finding the Third Proportional to 201,322 and 434,168

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Solution

The third proportional to 201,322 and 434,168 is: 936,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322 : 434,168 = 434,168 : x
  2. Step 2: Convert to fraction form
    201,322/434,168 = 434,168/x
  3. Step 3: Cross multiply
    201,322x = 434,168 × 434,168
  4. Step 4: Simplify right side
    201,322x = 188,501,852,224
  5. Step 5: Solve for x
    x = 188,501,852,224/201,322
  6. Step 6: Final answer
    x = 936,320.18

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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.