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Finding the Third Proportional to 128,800.13 and 280,482.75

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Solution

The third proportional to 128,800.13 and 280,482.75 is: 610,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.13 : 280,482.75 = 280,482.75 : x
  2. Step 2: Convert to fraction form
    128,800.13/280,482.75 = 280,482.75/x
  3. Step 3: Cross multiply
    128,800.13x = 280,482.75 × 280,482.75
  4. Step 4: Simplify right side
    128,800.13x = 78,670,573,047.56
  5. Step 5: Solve for x
    x = 78,670,573,047.56/128,800.13
  6. Step 6: Final answer
    x = 610,795.78

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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.