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Finding the Third Proportional to 280,158.75 and 619,187.63

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Solution

The third proportional to 280,158.75 and 619,187.63 is: 1,368,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,158.75 : 619,187.63 = 619,187.63 : x
  2. Step 2: Convert to fraction form
    280,158.75/619,187.63 = 619,187.63/x
  3. Step 3: Cross multiply
    280,158.75x = 619,187.63 × 619,187.63
  4. Step 4: Simplify right side
    280,158.75x = 383,393,314,953.14
  5. Step 5: Solve for x
    x = 383,393,314,953.14/280,158.75
  6. Step 6: Final answer
    x = 1,368,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.