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Finding the Third Proportional to 152,898 and 326,722

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Solution

The third proportional to 152,898 and 326,722 is: 698,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,898 : 326,722 = 326,722 : x
  2. Step 2: Convert to fraction form
    152,898/326,722 = 326,722/x
  3. Step 3: Cross multiply
    152,898x = 326,722 × 326,722
  4. Step 4: Simplify right side
    152,898x = 106,747,265,284
  5. Step 5: Solve for x
    x = 106,747,265,284/152,898
  6. Step 6: Final answer
    x = 698,159.98

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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.