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Finding the Third Proportional to 155,715.75 and 243,950.06

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Solution

The third proportional to 155,715.75 and 243,950.06 is: 382,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,715.75 : 243,950.06 = 243,950.06 : x
  2. Step 2: Convert to fraction form
    155,715.75/243,950.06 = 243,950.06/x
  3. Step 3: Cross multiply
    155,715.75x = 243,950.06 × 243,950.06
  4. Step 4: Simplify right side
    155,715.75x = 59,511,632,993.75
  5. Step 5: Solve for x
    x = 59,511,632,993.75/155,715.75
  6. Step 6: Final answer
    x = 382,181.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.