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Finding the Third Proportional to 117,030 and 251,835

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Solution

The third proportional to 117,030 and 251,835 is: 541,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,030 : 251,835 = 251,835 : x
  2. Step 2: Convert to fraction form
    117,030/251,835 = 251,835/x
  3. Step 3: Cross multiply
    117,030x = 251,835 × 251,835
  4. Step 4: Simplify right side
    117,030x = 63,420,867,225
  5. Step 5: Solve for x
    x = 63,420,867,225/117,030
  6. Step 6: Final answer
    x = 541,919.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.