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Finding the Third Proportional to 117,977.50 and 255,638

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Solution

The third proportional to 117,977.50 and 255,638 is: 553,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,977.50 : 255,638 = 255,638 : x
  2. Step 2: Convert to fraction form
    117,977.50/255,638 = 255,638/x
  3. Step 3: Cross multiply
    117,977.50x = 255,638 × 255,638
  4. Step 4: Simplify right side
    117,977.50x = 65,350,787,044
  5. Step 5: Solve for x
    x = 65,350,787,044/117,977.50
  6. Step 6: Final answer
    x = 553,925.85

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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.