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Finding the Third Proportional to 175,284 and 383,919.75

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Solution

The third proportional to 175,284 and 383,919.75 is: 840,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 383,919.75 = 383,919.75 : x
  2. Step 2: Convert to fraction form
    175,284/383,919.75 = 383,919.75/x
  3. Step 3: Cross multiply
    175,284x = 383,919.75 × 383,919.75
  4. Step 4: Simplify right side
    175,284x = 147,394,374,440.06
  5. Step 5: Solve for x
    x = 147,394,374,440.06/175,284
  6. Step 6: Final answer
    x = 840,888.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.