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Finding the Third Proportional to 237,832.88 and 368,334

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Solution

The third proportional to 237,832.88 and 368,334 is: 570,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,832.88 : 368,334 = 368,334 : x
  2. Step 2: Convert to fraction form
    237,832.88/368,334 = 368,334/x
  3. Step 3: Cross multiply
    237,832.88x = 368,334 × 368,334
  4. Step 4: Simplify right side
    237,832.88x = 135,669,935,556
  5. Step 5: Solve for x
    x = 135,669,935,556/237,832.88
  6. Step 6: Final answer
    x = 570,442.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.