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Finding the Third Proportional to 77,223.38 and 180,407.25

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Solution

The third proportional to 77,223.38 and 180,407.25 is: 421,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,223.38 : 180,407.25 = 180,407.25 : x
  2. Step 2: Convert to fraction form
    77,223.38/180,407.25 = 180,407.25/x
  3. Step 3: Cross multiply
    77,223.38x = 180,407.25 × 180,407.25
  4. Step 4: Simplify right side
    77,223.38x = 32,546,775,852.56
  5. Step 5: Solve for x
    x = 32,546,775,852.56/77,223.38
  6. Step 6: Final answer
    x = 421,462.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.