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Finding the Third Proportional to 116,677 and 252,034

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Solution

The third proportional to 116,677 and 252,034 is: 544,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,677 : 252,034 = 252,034 : x
  2. Step 2: Convert to fraction form
    116,677/252,034 = 252,034/x
  3. Step 3: Cross multiply
    116,677x = 252,034 × 252,034
  4. Step 4: Simplify right side
    116,677x = 63,521,137,156
  5. Step 5: Solve for x
    x = 63,521,137,156/116,677
  6. Step 6: Final answer
    x = 544,418.67

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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.