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Finding the Third Proportional to 113,826 and 245,890

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Solution

The third proportional to 113,826 and 245,890 is: 531,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,826 : 245,890 = 245,890 : x
  2. Step 2: Convert to fraction form
    113,826/245,890 = 245,890/x
  3. Step 3: Cross multiply
    113,826x = 245,890 × 245,890
  4. Step 4: Simplify right side
    113,826x = 60,461,892,100
  5. Step 5: Solve for x
    x = 60,461,892,100/113,826
  6. Step 6: Final answer
    x = 531,178.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.