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Finding the Third Proportional to 144,814 and 202,308

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Solution

The third proportional to 144,814 and 202,308 is: 282,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,814 : 202,308 = 202,308 : x
  2. Step 2: Convert to fraction form
    144,814/202,308 = 202,308/x
  3. Step 3: Cross multiply
    144,814x = 202,308 × 202,308
  4. Step 4: Simplify right side
    144,814x = 40,928,526,864
  5. Step 5: Solve for x
    x = 40,928,526,864/144,814
  6. Step 6: Final answer
    x = 282,628.25

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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.