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Finding the Third Proportional to 109,421.25 and 238,014.19

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Solution

The third proportional to 109,421.25 and 238,014.19 is: 517,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,421.25 : 238,014.19 = 238,014.19 : x
  2. Step 2: Convert to fraction form
    109,421.25/238,014.19 = 238,014.19/x
  3. Step 3: Cross multiply
    109,421.25x = 238,014.19 × 238,014.19
  4. Step 4: Simplify right side
    109,421.25x = 56,650,753,451.29
  5. Step 5: Solve for x
    x = 56,650,753,451.29/109,421.25
  6. Step 6: Final answer
    x = 517,730.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.