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Finding the Third Proportional to 120,681 and 265,152

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Solution

The third proportional to 120,681 and 265,152 is: 582,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,681 : 265,152 = 265,152 : x
  2. Step 2: Convert to fraction form
    120,681/265,152 = 265,152/x
  3. Step 3: Cross multiply
    120,681x = 265,152 × 265,152
  4. Step 4: Simplify right side
    120,681x = 70,305,583,104
  5. Step 5: Solve for x
    x = 70,305,583,104/120,681
  6. Step 6: Final answer
    x = 582,573.75

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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.