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Finding the Third Proportional to 127,595.25 and 278,147.25

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Solution

The third proportional to 127,595.25 and 278,147.25 is: 606,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,595.25 : 278,147.25 = 278,147.25 : x
  2. Step 2: Convert to fraction form
    127,595.25/278,147.25 = 278,147.25/x
  3. Step 3: Cross multiply
    127,595.25x = 278,147.25 × 278,147.25
  4. Step 4: Simplify right side
    127,595.25x = 77,365,892,682.56
  5. Step 5: Solve for x
    x = 77,365,892,682.56/127,595.25
  6. Step 6: Final answer
    x = 606,338.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.