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Finding the Third Proportional to 116,008.50 and 254,427

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Solution

The third proportional to 116,008.50 and 254,427 is: 558,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,008.50 : 254,427 = 254,427 : x
  2. Step 2: Convert to fraction form
    116,008.50/254,427 = 254,427/x
  3. Step 3: Cross multiply
    116,008.50x = 254,427 × 254,427
  4. Step 4: Simplify right side
    116,008.50x = 64,733,098,329
  5. Step 5: Solve for x
    x = 64,733,098,329/116,008.50
  6. Step 6: Final answer
    x = 558,003.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.