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Finding the Third Proportional to 115,028 and 250,306

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Solution

The third proportional to 115,028 and 250,306 is: 544,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,028 : 250,306 = 250,306 : x
  2. Step 2: Convert to fraction form
    115,028/250,306 = 250,306/x
  3. Step 3: Cross multiply
    115,028x = 250,306 × 250,306
  4. Step 4: Simplify right side
    115,028x = 62,653,093,636
  5. Step 5: Solve for x
    x = 62,653,093,636/115,028
  6. Step 6: Final answer
    x = 544,676.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.