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Finding the Third Proportional to 175,084 and 278,722

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Solution

The third proportional to 175,084 and 278,722 is: 443,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084 : 278,722 = 278,722 : x
  2. Step 2: Convert to fraction form
    175,084/278,722 = 278,722/x
  3. Step 3: Cross multiply
    175,084x = 278,722 × 278,722
  4. Step 4: Simplify right side
    175,084x = 77,685,953,284
  5. Step 5: Solve for x
    x = 77,685,953,284/175,084
  6. Step 6: Final answer
    x = 443,706.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.