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Finding the Third Proportional to 113,950 and 247,340

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Solution

The third proportional to 113,950 and 247,340 is: 536,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,950 : 247,340 = 247,340 : x
  2. Step 2: Convert to fraction form
    113,950/247,340 = 247,340/x
  3. Step 3: Cross multiply
    113,950x = 247,340 × 247,340
  4. Step 4: Simplify right side
    113,950x = 61,177,075,600
  5. Step 5: Solve for x
    x = 61,177,075,600/113,950
  6. Step 6: Final answer
    x = 536,876.49

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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.