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Finding the Third Proportional to 120,772.13 and 265,439.25

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Solution

The third proportional to 120,772.13 and 265,439.25 is: 583,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772.13 : 265,439.25 = 265,439.25 : x
  2. Step 2: Convert to fraction form
    120,772.13/265,439.25 = 265,439.25/x
  3. Step 3: Cross multiply
    120,772.13x = 265,439.25 × 265,439.25
  4. Step 4: Simplify right side
    120,772.13x = 70,457,995,440.56
  5. Step 5: Solve for x
    x = 70,457,995,440.56/120,772.13
  6. Step 6: Final answer
    x = 583,396.17

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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.