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Finding the Third Proportional to 159,284 and 342,178

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Solution

The third proportional to 159,284 and 342,178 is: 735,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,284 : 342,178 = 342,178 : x
  2. Step 2: Convert to fraction form
    159,284/342,178 = 342,178/x
  3. Step 3: Cross multiply
    159,284x = 342,178 × 342,178
  4. Step 4: Simplify right side
    159,284x = 117,085,783,684
  5. Step 5: Solve for x
    x = 117,085,783,684/159,284
  6. Step 6: Final answer
    x = 735,075.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.