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Finding the Third Proportional to 158,433 and 341,750

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Solution

The third proportional to 158,433 and 341,750 is: 737,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,433 : 341,750 = 341,750 : x
  2. Step 2: Convert to fraction form
    158,433/341,750 = 341,750/x
  3. Step 3: Cross multiply
    158,433x = 341,750 × 341,750
  4. Step 4: Simplify right side
    158,433x = 116,793,062,500
  5. Step 5: Solve for x
    x = 116,793,062,500/158,433
  6. Step 6: Final answer
    x = 737,176.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.