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Finding the Third Proportional to 116,156 and 251,813

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Solution

The third proportional to 116,156 and 251,813 is: 545,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,156 : 251,813 = 251,813 : x
  2. Step 2: Convert to fraction form
    116,156/251,813 = 251,813/x
  3. Step 3: Cross multiply
    116,156x = 251,813 × 251,813
  4. Step 4: Simplify right side
    116,156x = 63,409,786,969
  5. Step 5: Solve for x
    x = 63,409,786,969/116,156
  6. Step 6: Final answer
    x = 545,901.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.