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Finding the Third Proportional to 132,968.25 and 288,089.63

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Solution

The third proportional to 132,968.25 and 288,089.63 is: 624,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,968.25 : 288,089.63 = 288,089.63 : x
  2. Step 2: Convert to fraction form
    132,968.25/288,089.63 = 288,089.63/x
  3. Step 3: Cross multiply
    132,968.25x = 288,089.63 × 288,089.63
  4. Step 4: Simplify right side
    132,968.25x = 82,995,632,032.64
  5. Step 5: Solve for x
    x = 82,995,632,032.64/132,968.25
  6. Step 6: Final answer
    x = 624,176.31

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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.