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Finding the Third Proportional to 120,773 and 265,441

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Solution

The third proportional to 120,773 and 265,441 is: 583,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,773 : 265,441 = 265,441 : x
  2. Step 2: Convert to fraction form
    120,773/265,441 = 265,441/x
  3. Step 3: Cross multiply
    120,773x = 265,441 × 265,441
  4. Step 4: Simplify right side
    120,773x = 70,458,924,481
  5. Step 5: Solve for x
    x = 70,458,924,481/120,773
  6. Step 6: Final answer
    x = 583,399.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.