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Finding the Third Proportional to 117,564 and 258,453

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Solution

The third proportional to 117,564 and 258,453 is: 568,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 258,453 = 258,453 : x
  2. Step 2: Convert to fraction form
    117,564/258,453 = 258,453/x
  3. Step 3: Cross multiply
    117,564x = 258,453 × 258,453
  4. Step 4: Simplify right side
    117,564x = 66,797,953,209
  5. Step 5: Solve for x
    x = 66,797,953,209/117,564
  6. Step 6: Final answer
    x = 568,183.74

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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.