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Finding the Third Proportional to 120,856.64 and 263,378.25

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Solution

The third proportional to 120,856.64 and 263,378.25 is: 573,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,856.64 : 263,378.25 = 263,378.25 : x
  2. Step 2: Convert to fraction form
    120,856.64/263,378.25 = 263,378.25/x
  3. Step 3: Cross multiply
    120,856.64x = 263,378.25 × 263,378.25
  4. Step 4: Simplify right side
    120,856.64x = 69,368,102,573.06
  5. Step 5: Solve for x
    x = 69,368,102,573.06/120,856.64
  6. Step 6: Final answer
    x = 573,970.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.