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Finding the Third Proportional to 120,852.56 and 263,210.63

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Solution

The third proportional to 120,852.56 and 263,210.63 is: 573,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,852.56 : 263,210.63 = 263,210.63 : x
  2. Step 2: Convert to fraction form
    120,852.56/263,210.63 = 263,210.63/x
  3. Step 3: Cross multiply
    120,852.56x = 263,210.63 × 263,210.63
  4. Step 4: Simplify right side
    120,852.56x = 69,279,833,112.89
  5. Step 5: Solve for x
    x = 69,279,833,112.89/120,852.56
  6. Step 6: Final answer
    x = 573,259.12

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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.