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Finding the Third Proportional to 115,214.75 and 251,534.90

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Solution

The third proportional to 115,214.75 and 251,534.90 is: 549,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,214.75 : 251,534.90 = 251,534.90 : x
  2. Step 2: Convert to fraction form
    115,214.75/251,534.90 = 251,534.90/x
  3. Step 3: Cross multiply
    115,214.75x = 251,534.90 × 251,534.90
  4. Step 4: Simplify right side
    115,214.75x = 63,269,806,114.52
  5. Step 5: Solve for x
    x = 63,269,806,114.52/115,214.75
  6. Step 6: Final answer
    x = 549,146.76

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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.