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Finding the Third Proportional to 153,932 and 231,346

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Solution

The third proportional to 153,932 and 231,346 is: 347,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,932 : 231,346 = 231,346 : x
  2. Step 2: Convert to fraction form
    153,932/231,346 = 231,346/x
  3. Step 3: Cross multiply
    153,932x = 231,346 × 231,346
  4. Step 4: Simplify right side
    153,932x = 53,520,971,716
  5. Step 5: Solve for x
    x = 53,520,971,716/153,932
  6. Step 6: Final answer
    x = 347,692.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.