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Finding the Third Proportional to 120,032.44 and 262,211.63

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Solution

The third proportional to 120,032.44 and 262,211.63 is: 572,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,032.44 : 262,211.63 = 262,211.63 : x
  2. Step 2: Convert to fraction form
    120,032.44/262,211.63 = 262,211.63/x
  3. Step 3: Cross multiply
    120,032.44x = 262,211.63 × 262,211.63
  4. Step 4: Simplify right side
    120,032.44x = 68,754,936,285.14
  5. Step 5: Solve for x
    x = 68,754,936,285.14/120,032.44
  6. Step 6: Final answer
    x = 572,802.97

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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.