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Finding the Third Proportional to 160,328 and 342,896

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Solution

The third proportional to 160,328 and 342,896 is: 733,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,328 : 342,896 = 342,896 : x
  2. Step 2: Convert to fraction form
    160,328/342,896 = 342,896/x
  3. Step 3: Cross multiply
    160,328x = 342,896 × 342,896
  4. Step 4: Simplify right side
    160,328x = 117,577,666,816
  5. Step 5: Solve for x
    x = 117,577,666,816/160,328
  6. Step 6: Final answer
    x = 733,357.04

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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.