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Finding the Third Proportional to 116,655.19 and 238,231.13

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Solution

The third proportional to 116,655.19 and 238,231.13 is: 486,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,655.19 : 238,231.13 = 238,231.13 : x
  2. Step 2: Convert to fraction form
    116,655.19/238,231.13 = 238,231.13/x
  3. Step 3: Cross multiply
    116,655.19x = 238,231.13 × 238,231.13
  4. Step 4: Simplify right side
    116,655.19x = 56,754,068,918.77
  5. Step 5: Solve for x
    x = 56,754,068,918.77/116,655.19
  6. Step 6: Final answer
    x = 486,511.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.