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Finding the Third Proportional to 122,536.13 and 265,428.56

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Solution

The third proportional to 122,536.13 and 265,428.56 is: 574,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,536.13 : 265,428.56 = 265,428.56 : x
  2. Step 2: Convert to fraction form
    122,536.13/265,428.56 = 265,428.56/x
  3. Step 3: Cross multiply
    122,536.13x = 265,428.56 × 265,428.56
  4. Step 4: Simplify right side
    122,536.13x = 70,452,321,790.82
  5. Step 5: Solve for x
    x = 70,452,321,790.82/122,536.13
  6. Step 6: Final answer
    x = 574,951.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.