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Finding the Third Proportional to 153,796.22 and 240,775.03

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Solution

The third proportional to 153,796.22 and 240,775.03 is: 376,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,796.22 : 240,775.03 = 240,775.03 : x
  2. Step 2: Convert to fraction form
    153,796.22/240,775.03 = 240,775.03/x
  3. Step 3: Cross multiply
    153,796.22x = 240,775.03 × 240,775.03
  4. Step 4: Simplify right side
    153,796.22x = 57,972,615,673.44
  5. Step 5: Solve for x
    x = 57,972,615,673.44/153,796.22
  6. Step 6: Final answer
    x = 376,944.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.