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Finding the Third Proportional to 97,268 and 201,280

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Solution

The third proportional to 97,268 and 201,280 is: 416,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,268 : 201,280 = 201,280 : x
  2. Step 2: Convert to fraction form
    97,268/201,280 = 201,280/x
  3. Step 3: Cross multiply
    97,268x = 201,280 × 201,280
  4. Step 4: Simplify right side
    97,268x = 40,513,638,400
  5. Step 5: Solve for x
    x = 40,513,638,400/97,268
  6. Step 6: Final answer
    x = 416,515.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.