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Finding the Third Proportional to 175,599 and 372,096

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Solution

The third proportional to 175,599 and 372,096 is: 788,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,599 : 372,096 = 372,096 : x
  2. Step 2: Convert to fraction form
    175,599/372,096 = 372,096/x
  3. Step 3: Cross multiply
    175,599x = 372,096 × 372,096
  4. Step 4: Simplify right side
    175,599x = 138,455,433,216
  5. Step 5: Solve for x
    x = 138,455,433,216/175,599
  6. Step 6: Final answer
    x = 788,475.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.