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Finding the Third Proportional to 160,058 and 342,796

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Solution

The third proportional to 160,058 and 342,796 is: 734,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,058 : 342,796 = 342,796 : x
  2. Step 2: Convert to fraction form
    160,058/342,796 = 342,796/x
  3. Step 3: Cross multiply
    160,058x = 342,796 × 342,796
  4. Step 4: Simplify right side
    160,058x = 117,509,097,616
  5. Step 5: Solve for x
    x = 117,509,097,616/160,058
  6. Step 6: Final answer
    x = 734,165.73

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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.