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Finding the Third Proportional to 175,992 and 233,369

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Solution

The third proportional to 175,992 and 233,369 is: 309,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,992 : 233,369 = 233,369 : x
  2. Step 2: Convert to fraction form
    175,992/233,369 = 233,369/x
  3. Step 3: Cross multiply
    175,992x = 233,369 × 233,369
  4. Step 4: Simplify right side
    175,992x = 54,461,090,161
  5. Step 5: Solve for x
    x = 54,461,090,161/175,992
  6. Step 6: Final answer
    x = 309,452.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.