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Finding the Third Proportional to 183,482.50 and 404,212.50

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Solution

The third proportional to 183,482.50 and 404,212.50 is: 890,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,482.50 : 404,212.50 = 404,212.50 : x
  2. Step 2: Convert to fraction form
    183,482.50/404,212.50 = 404,212.50/x
  3. Step 3: Cross multiply
    183,482.50x = 404,212.50 × 404,212.50
  4. Step 4: Simplify right side
    183,482.50x = 163,387,745,156.25
  5. Step 5: Solve for x
    x = 163,387,745,156.25/183,482.50
  6. Step 6: Final answer
    x = 890,481.35

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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.