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Finding the Third Proportional to 204,362.25 and 318,961.50

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Solution

The third proportional to 204,362.25 and 318,961.50 is: 497,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,362.25 : 318,961.50 = 318,961.50 : x
  2. Step 2: Convert to fraction form
    204,362.25/318,961.50 = 318,961.50/x
  3. Step 3: Cross multiply
    204,362.25x = 318,961.50 × 318,961.50
  4. Step 4: Simplify right side
    204,362.25x = 101,736,438,482.25
  5. Step 5: Solve for x
    x = 101,736,438,482.25/204,362.25
  6. Step 6: Final answer
    x = 497,824.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.