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Finding the Third Proportional to 131,513.63 and 280,978.88

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Solution

The third proportional to 131,513.63 and 280,978.88 is: 600,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,513.63 : 280,978.88 = 280,978.88 : x
  2. Step 2: Convert to fraction form
    131,513.63/280,978.88 = 280,978.88/x
  3. Step 3: Cross multiply
    131,513.63x = 280,978.88 × 280,978.88
  4. Step 4: Simplify right side
    131,513.63x = 78,949,128,196.27
  5. Step 5: Solve for x
    x = 78,949,128,196.27/131,513.63
  6. Step 6: Final answer
    x = 600,311.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.