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Finding the Third Proportional to 159,994 and 342,758

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Solution

The third proportional to 159,994 and 342,758 is: 734,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,994 : 342,758 = 342,758 : x
  2. Step 2: Convert to fraction form
    159,994/342,758 = 342,758/x
  3. Step 3: Cross multiply
    159,994x = 342,758 × 342,758
  4. Step 4: Simplify right side
    159,994x = 117,483,046,564
  5. Step 5: Solve for x
    x = 117,483,046,564/159,994
  6. Step 6: Final answer
    x = 734,296.58

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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.