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Finding the Third Proportional to 168,018 and 255,537

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Solution

The third proportional to 168,018 and 255,537 is: 388,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,018 : 255,537 = 255,537 : x
  2. Step 2: Convert to fraction form
    168,018/255,537 = 255,537/x
  3. Step 3: Cross multiply
    168,018x = 255,537 × 255,537
  4. Step 4: Simplify right side
    168,018x = 65,299,158,369
  5. Step 5: Solve for x
    x = 65,299,158,369/168,018
  6. Step 6: Final answer
    x = 388,643.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.