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Finding the Third Proportional to 200,187.75 and 440,482.50

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Solution

The third proportional to 200,187.75 and 440,482.50 is: 969,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,187.75 : 440,482.50 = 440,482.50 : x
  2. Step 2: Convert to fraction form
    200,187.75/440,482.50 = 440,482.50/x
  3. Step 3: Cross multiply
    200,187.75x = 440,482.50 × 440,482.50
  4. Step 4: Simplify right side
    200,187.75x = 194,024,832,806.25
  5. Step 5: Solve for x
    x = 194,024,832,806.25/200,187.75
  6. Step 6: Final answer
    x = 969,214.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.