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Finding the Third Proportional to 201,152.25 and 418,838.63

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Solution

The third proportional to 201,152.25 and 418,838.63 is: 872,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152.25 : 418,838.63 = 418,838.63 : x
  2. Step 2: Convert to fraction form
    201,152.25/418,838.63 = 418,838.63/x
  3. Step 3: Cross multiply
    201,152.25x = 418,838.63 × 418,838.63
  4. Step 4: Simplify right side
    201,152.25x = 175,425,793,791.89
  5. Step 5: Solve for x
    x = 175,425,793,791.89/201,152.25
  6. Step 6: Final answer
    x = 872,104.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.