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Finding the Third Proportional to 114,888.25 and 252,454

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Solution

The third proportional to 114,888.25 and 252,454 is: 554,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,888.25 : 252,454 = 252,454 : x
  2. Step 2: Convert to fraction form
    114,888.25/252,454 = 252,454/x
  3. Step 3: Cross multiply
    114,888.25x = 252,454 × 252,454
  4. Step 4: Simplify right side
    114,888.25x = 63,733,022,116
  5. Step 5: Solve for x
    x = 63,733,022,116/114,888.25
  6. Step 6: Final answer
    x = 554,739.25

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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.