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Finding the Third Proportional to 146,052 and 220,655.25

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Solution

The third proportional to 146,052 and 220,655.25 is: 333,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 220,655.25 = 220,655.25 : x
  2. Step 2: Convert to fraction form
    146,052/220,655.25 = 220,655.25/x
  3. Step 3: Cross multiply
    146,052x = 220,655.25 × 220,655.25
  4. Step 4: Simplify right side
    146,052x = 48,688,739,352.56
  5. Step 5: Solve for x
    x = 48,688,739,352.56/146,052
  6. Step 6: Final answer
    x = 333,365.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.