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Finding the Third Proportional to 170,855 and 271,541

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Solution

The third proportional to 170,855 and 271,541 is: 431,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,855 : 271,541 = 271,541 : x
  2. Step 2: Convert to fraction form
    170,855/271,541 = 271,541/x
  3. Step 3: Cross multiply
    170,855x = 271,541 × 271,541
  4. Step 4: Simplify right side
    170,855x = 73,734,514,681
  5. Step 5: Solve for x
    x = 73,734,514,681/170,855
  6. Step 6: Final answer
    x = 431,561.94

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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.