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Finding the Third Proportional to 120,657 and 265,007

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Solution

The third proportional to 120,657 and 265,007 is: 582,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,657 : 265,007 = 265,007 : x
  2. Step 2: Convert to fraction form
    120,657/265,007 = 265,007/x
  3. Step 3: Cross multiply
    120,657x = 265,007 × 265,007
  4. Step 4: Simplify right side
    120,657x = 70,228,710,049
  5. Step 5: Solve for x
    x = 70,228,710,049/120,657
  6. Step 6: Final answer
    x = 582,052.51

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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.