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Finding the Third Proportional to 114,554.25 and 253,833.75

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Solution

The third proportional to 114,554.25 and 253,833.75 is: 562,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,554.25 : 253,833.75 = 253,833.75 : x
  2. Step 2: Convert to fraction form
    114,554.25/253,833.75 = 253,833.75/x
  3. Step 3: Cross multiply
    114,554.25x = 253,833.75 × 253,833.75
  4. Step 4: Simplify right side
    114,554.25x = 64,431,572,639.06
  5. Step 5: Solve for x
    x = 64,431,572,639.06/114,554.25
  6. Step 6: Final answer
    x = 562,454.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.