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Finding the Third Proportional to 113,588 and 250,018

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Solution

The third proportional to 113,588 and 250,018 is: 550,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,588 : 250,018 = 250,018 : x
  2. Step 2: Convert to fraction form
    113,588/250,018 = 250,018/x
  3. Step 3: Cross multiply
    113,588x = 250,018 × 250,018
  4. Step 4: Simplify right side
    113,588x = 62,509,000,324
  5. Step 5: Solve for x
    x = 62,509,000,324/113,588
  6. Step 6: Final answer
    x = 550,313.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.