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Finding the Third Proportional to 168,577 and 237,133

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Solution

The third proportional to 168,577 and 237,133 is: 333,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,577 : 237,133 = 237,133 : x
  2. Step 2: Convert to fraction form
    168,577/237,133 = 237,133/x
  3. Step 3: Cross multiply
    168,577x = 237,133 × 237,133
  4. Step 4: Simplify right side
    168,577x = 56,232,059,689
  5. Step 5: Solve for x
    x = 56,232,059,689/168,577
  6. Step 6: Final answer
    x = 333,568.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.