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Finding the Third Proportional to 202,992.75 and 440,562

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Solution

The third proportional to 202,992.75 and 440,562 is: 956,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.75 : 440,562 = 440,562 : x
  2. Step 2: Convert to fraction form
    202,992.75/440,562 = 440,562/x
  3. Step 3: Cross multiply
    202,992.75x = 440,562 × 440,562
  4. Step 4: Simplify right side
    202,992.75x = 194,094,875,844
  5. Step 5: Solve for x
    x = 194,094,875,844/202,992.75
  6. Step 6: Final answer
    x = 956,166.54

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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.