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Finding the Third Proportional to 132,360 and 288,042

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Solution

The third proportional to 132,360 and 288,042 is: 626,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,360 : 288,042 = 288,042 : x
  2. Step 2: Convert to fraction form
    132,360/288,042 = 288,042/x
  3. Step 3: Cross multiply
    132,360x = 288,042 × 288,042
  4. Step 4: Simplify right side
    132,360x = 82,968,193,764
  5. Step 5: Solve for x
    x = 82,968,193,764/132,360
  6. Step 6: Final answer
    x = 626,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.