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Finding the Third Proportional to 157,941.75 and 372,846.75

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Solution

The third proportional to 157,941.75 and 372,846.75 is: 880,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,941.75 : 372,846.75 = 372,846.75 : x
  2. Step 2: Convert to fraction form
    157,941.75/372,846.75 = 372,846.75/x
  3. Step 3: Cross multiply
    157,941.75x = 372,846.75 × 372,846.75
  4. Step 4: Simplify right side
    157,941.75x = 139,014,698,985.56
  5. Step 5: Solve for x
    x = 139,014,698,985.56/157,941.75
  6. Step 6: Final answer
    x = 880,164.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.