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Finding the Third Proportional to 130,511.81 and 284,992.88

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Solution

The third proportional to 130,511.81 and 284,992.88 is: 622,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,511.81 : 284,992.88 = 284,992.88 : x
  2. Step 2: Convert to fraction form
    130,511.81/284,992.88 = 284,992.88/x
  3. Step 3: Cross multiply
    130,511.81x = 284,992.88 × 284,992.88
  4. Step 4: Simplify right side
    130,511.81x = 81,220,938,800.77
  5. Step 5: Solve for x
    x = 81,220,938,800.77/130,511.81
  6. Step 6: Final answer
    x = 622,326.34

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