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Finding the Third Proportional to 159,281 and 342,175

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Solution

The third proportional to 159,281 and 342,175 is: 735,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,281 : 342,175 = 342,175 : x
  2. Step 2: Convert to fraction form
    159,281/342,175 = 342,175/x
  3. Step 3: Cross multiply
    159,281x = 342,175 × 342,175
  4. Step 4: Simplify right side
    159,281x = 117,083,730,625
  5. Step 5: Solve for x
    x = 117,083,730,625/159,281
  6. Step 6: Final answer
    x = 735,076.57

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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.