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Finding the Third Proportional to 243,850.50 and 383,028.75

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Solution

The third proportional to 243,850.50 and 383,028.75 is: 601,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,850.50 : 383,028.75 = 383,028.75 : x
  2. Step 2: Convert to fraction form
    243,850.50/383,028.75 = 383,028.75/x
  3. Step 3: Cross multiply
    243,850.50x = 383,028.75 × 383,028.75
  4. Step 4: Simplify right side
    243,850.50x = 146,711,023,326.56
  5. Step 5: Solve for x
    x = 146,711,023,326.56/243,850.50
  6. Step 6: Final answer
    x = 601,643.32

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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.