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Finding the Third Proportional to 132,968.25 and 288,090

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Solution

The third proportional to 132,968.25 and 288,090 is: 624,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,968.25 : 288,090 = 288,090 : x
  2. Step 2: Convert to fraction form
    132,968.25/288,090 = 288,090/x
  3. Step 3: Cross multiply
    132,968.25x = 288,090 × 288,090
  4. Step 4: Simplify right side
    132,968.25x = 82,995,848,100
  5. Step 5: Solve for x
    x = 82,995,848,100/132,968.25
  6. Step 6: Final answer
    x = 624,177.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.