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Finding the Third Proportional to 168,888 and 237,537

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Solution

The third proportional to 168,888 and 237,537 is: 334,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,888 : 237,537 = 237,537 : x
  2. Step 2: Convert to fraction form
    168,888/237,537 = 237,537/x
  3. Step 3: Cross multiply
    168,888x = 237,537 × 237,537
  4. Step 4: Simplify right side
    168,888x = 56,423,826,369
  5. Step 5: Solve for x
    x = 56,423,826,369/168,888
  6. Step 6: Final answer
    x = 334,090.20

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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.