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Finding the Third Proportional to 119,020.64 and 280,482.75

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Solution

The third proportional to 119,020.64 and 280,482.75 is: 660,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020.64 : 280,482.75 = 280,482.75 : x
  2. Step 2: Convert to fraction form
    119,020.64/280,482.75 = 280,482.75/x
  3. Step 3: Cross multiply
    119,020.64x = 280,482.75 × 280,482.75
  4. Step 4: Simplify right side
    119,020.64x = 78,670,573,047.56
  5. Step 5: Solve for x
    x = 78,670,573,047.56/119,020.64
  6. Step 6: Final answer
    x = 660,982.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.