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Finding the Third Proportional to 181,260 and 388,763.75

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Solution

The third proportional to 181,260 and 388,763.75 is: 833,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,260 : 388,763.75 = 388,763.75 : x
  2. Step 2: Convert to fraction form
    181,260/388,763.75 = 388,763.75/x
  3. Step 3: Cross multiply
    181,260x = 388,763.75 × 388,763.75
  4. Step 4: Simplify right side
    181,260x = 151,137,253,314.06
  5. Step 5: Solve for x
    x = 151,137,253,314.06/181,260
  6. Step 6: Final answer
    x = 833,814.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.