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Finding the Third Proportional to 201,146.75 and 434,196.75

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Solution

The third proportional to 201,146.75 and 434,196.75 is: 937,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.75 : 434,196.75 = 434,196.75 : x
  2. Step 2: Convert to fraction form
    201,146.75/434,196.75 = 434,196.75/x
  3. Step 3: Cross multiply
    201,146.75x = 434,196.75 × 434,196.75
  4. Step 4: Simplify right side
    201,146.75x = 188,526,817,710.56
  5. Step 5: Solve for x
    x = 188,526,817,710.56/201,146.75
  6. Step 6: Final answer
    x = 937,260.07

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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.