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Finding the Third Proportional to 116,573.34 and 251,523.56

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Solution

The third proportional to 116,573.34 and 251,523.56 is: 542,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,573.34 : 251,523.56 = 251,523.56 : x
  2. Step 2: Convert to fraction form
    116,573.34/251,523.56 = 251,523.56/x
  3. Step 3: Cross multiply
    116,573.34x = 251,523.56 × 251,523.56
  4. Step 4: Simplify right side
    116,573.34x = 63,264,102,492.69
  5. Step 5: Solve for x
    x = 63,264,102,492.69/116,573.34
  6. Step 6: Final answer
    x = 542,697.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.