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Finding the Third Proportional to 232,932 and 318,232.50

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Solution

The third proportional to 232,932 and 318,232.50 is: 434,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,932 : 318,232.50 = 318,232.50 : x
  2. Step 2: Convert to fraction form
    232,932/318,232.50 = 318,232.50/x
  3. Step 3: Cross multiply
    232,932x = 318,232.50 × 318,232.50
  4. Step 4: Simplify right side
    232,932x = 101,271,924,056.25
  5. Step 5: Solve for x
    x = 101,271,924,056.25/232,932
  6. Step 6: Final answer
    x = 434,770.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.