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Finding the Third Proportional to 120,935 and 282,402

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Solution

The third proportional to 120,935 and 282,402 is: 659,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,935 : 282,402 = 282,402 : x
  2. Step 2: Convert to fraction form
    120,935/282,402 = 282,402/x
  3. Step 3: Cross multiply
    120,935x = 282,402 × 282,402
  4. Step 4: Simplify right side
    120,935x = 79,750,889,604
  5. Step 5: Solve for x
    x = 79,750,889,604/120,935
  6. Step 6: Final answer
    x = 659,452.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.