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Finding the Third Proportional to 144,823 and 202,321

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Solution

The third proportional to 144,823 and 202,321 is: 282,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,823 : 202,321 = 202,321 : x
  2. Step 2: Convert to fraction form
    144,823/202,321 = 202,321/x
  3. Step 3: Cross multiply
    144,823x = 202,321 × 202,321
  4. Step 4: Simplify right side
    144,823x = 40,933,787,041
  5. Step 5: Solve for x
    x = 40,933,787,041/144,823
  6. Step 6: Final answer
    x = 282,647.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.