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Finding the Third Proportional to 144,826 and 202,326

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Solution

The third proportional to 144,826 and 202,326 is: 282,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,826 : 202,326 = 202,326 : x
  2. Step 2: Convert to fraction form
    144,826/202,326 = 202,326/x
  3. Step 3: Cross multiply
    144,826x = 202,326 × 202,326
  4. Step 4: Simplify right side
    144,826x = 40,935,810,276
  5. Step 5: Solve for x
    x = 40,935,810,276/144,826
  6. Step 6: Final answer
    x = 282,655.12

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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.