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Finding the Third Proportional to 201,282.75 and 434,097

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Solution

The third proportional to 201,282.75 and 434,097 is: 936,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.75 : 434,097 = 434,097 : x
  2. Step 2: Convert to fraction form
    201,282.75/434,097 = 434,097/x
  3. Step 3: Cross multiply
    201,282.75x = 434,097 × 434,097
  4. Step 4: Simplify right side
    201,282.75x = 188,440,205,409
  5. Step 5: Solve for x
    x = 188,440,205,409/201,282.75
  6. Step 6: Final answer
    x = 936,196.50

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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.