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Finding the Third Proportional to 116,588 and 250,159

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Solution

The third proportional to 116,588 and 250,159 is: 536,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,588 : 250,159 = 250,159 : x
  2. Step 2: Convert to fraction form
    116,588/250,159 = 250,159/x
  3. Step 3: Cross multiply
    116,588x = 250,159 × 250,159
  4. Step 4: Simplify right side
    116,588x = 62,579,525,281
  5. Step 5: Solve for x
    x = 62,579,525,281/116,588
  6. Step 6: Final answer
    x = 536,757.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.