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Finding the Third Proportional to 100,684.50 and 235,151.25

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Solution

The third proportional to 100,684.50 and 235,151.25 is: 549,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.50 : 235,151.25 = 235,151.25 : x
  2. Step 2: Convert to fraction form
    100,684.50/235,151.25 = 235,151.25/x
  3. Step 3: Cross multiply
    100,684.50x = 235,151.25 × 235,151.25
  4. Step 4: Simplify right side
    100,684.50x = 55,296,110,376.56
  5. Step 5: Solve for x
    x = 55,296,110,376.56/100,684.50
  6. Step 6: Final answer
    x = 549,201.82

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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.