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Finding the Third Proportional to 197,927.63 and 426,959.25

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Solution

The third proportional to 197,927.63 and 426,959.25 is: 921,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,927.63 : 426,959.25 = 426,959.25 : x
  2. Step 2: Convert to fraction form
    197,927.63/426,959.25 = 426,959.25/x
  3. Step 3: Cross multiply
    197,927.63x = 426,959.25 × 426,959.25
  4. Step 4: Simplify right side
    197,927.63x = 182,294,201,160.56
  5. Step 5: Solve for x
    x = 182,294,201,160.56/197,927.63
  6. Step 6: Final answer
    x = 921,014.44

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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.