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Finding the Third Proportional to 117,045 and 252,774

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Solution

The third proportional to 117,045 and 252,774 is: 545,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,045 : 252,774 = 252,774 : x
  2. Step 2: Convert to fraction form
    117,045/252,774 = 252,774/x
  3. Step 3: Cross multiply
    117,045x = 252,774 × 252,774
  4. Step 4: Simplify right side
    117,045x = 63,894,695,076
  5. Step 5: Solve for x
    x = 63,894,695,076/117,045
  6. Step 6: Final answer
    x = 545,898.54

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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.