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Finding the Third Proportional to 136,485 and 295,326

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Solution

The third proportional to 136,485 and 295,326 is: 639,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,485 : 295,326 = 295,326 : x
  2. Step 2: Convert to fraction form
    136,485/295,326 = 295,326/x
  3. Step 3: Cross multiply
    136,485x = 295,326 × 295,326
  4. Step 4: Simplify right side
    136,485x = 87,217,446,276
  5. Step 5: Solve for x
    x = 87,217,446,276/136,485
  6. Step 6: Final answer
    x = 639,025.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.