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Finding the Third Proportional to 204,051 and 316,732.50

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Solution

The third proportional to 204,051 and 316,732.50 is: 491,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,051 : 316,732.50 = 316,732.50 : x
  2. Step 2: Convert to fraction form
    204,051/316,732.50 = 316,732.50/x
  3. Step 3: Cross multiply
    204,051x = 316,732.50 × 316,732.50
  4. Step 4: Simplify right side
    204,051x = 100,319,476,556.25
  5. Step 5: Solve for x
    x = 100,319,476,556.25/204,051
  6. Step 6: Final answer
    x = 491,639.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.