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Finding the Third Proportional to 170,852.63 and 271,537.31

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Solution

The third proportional to 170,852.63 and 271,537.31 is: 431,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,852.63 : 271,537.31 = 271,537.31 : x
  2. Step 2: Convert to fraction form
    170,852.63/271,537.31 = 271,537.31/x
  3. Step 3: Cross multiply
    170,852.63x = 271,537.31 × 271,537.31
  4. Step 4: Simplify right side
    170,852.63x = 73,732,512,079.72
  5. Step 5: Solve for x
    x = 73,732,512,079.72/170,852.63
  6. Step 6: Final answer
    x = 431,556.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.