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Finding the Third Proportional to 113,994 and 235,278

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Solution

The third proportional to 113,994 and 235,278 is: 485,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,994 : 235,278 = 235,278 : x
  2. Step 2: Convert to fraction form
    113,994/235,278 = 235,278/x
  3. Step 3: Cross multiply
    113,994x = 235,278 × 235,278
  4. Step 4: Simplify right side
    113,994x = 55,355,737,284
  5. Step 5: Solve for x
    x = 55,355,737,284/113,994
  6. Step 6: Final answer
    x = 485,602.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.