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Finding the Third Proportional to 84,619.50 and 200,482.50

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Solution

The third proportional to 84,619.50 and 200,482.50 is: 474,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619.50 : 200,482.50 = 200,482.50 : x
  2. Step 2: Convert to fraction form
    84,619.50/200,482.50 = 200,482.50/x
  3. Step 3: Cross multiply
    84,619.50x = 200,482.50 × 200,482.50
  4. Step 4: Simplify right side
    84,619.50x = 40,193,232,806.25
  5. Step 5: Solve for x
    x = 40,193,232,806.25/84,619.50
  6. Step 6: Final answer
    x = 474,987.83

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.