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Finding the Third Proportional to 144,265 and 201,777

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Solution

The third proportional to 144,265 and 201,777 is: 282,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,265 : 201,777 = 201,777 : x
  2. Step 2: Convert to fraction form
    144,265/201,777 = 201,777/x
  3. Step 3: Cross multiply
    144,265x = 201,777 × 201,777
  4. Step 4: Simplify right side
    144,265x = 40,713,957,729
  5. Step 5: Solve for x
    x = 40,713,957,729/144,265
  6. Step 6: Final answer
    x = 282,216.46

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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.