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Finding the Third Proportional to 122,977 and 265,326

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Solution

The third proportional to 122,977 and 265,326 is: 572,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,977 : 265,326 = 265,326 : x
  2. Step 2: Convert to fraction form
    122,977/265,326 = 265,326/x
  3. Step 3: Cross multiply
    122,977x = 265,326 × 265,326
  4. Step 4: Simplify right side
    122,977x = 70,397,886,276
  5. Step 5: Solve for x
    x = 70,397,886,276/122,977
  6. Step 6: Final answer
    x = 572,447.58

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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.