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Finding the Third Proportional to 163,736.44 and 249,978.66

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Solution

The third proportional to 163,736.44 and 249,978.66 is: 381,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,736.44 : 249,978.66 = 249,978.66 : x
  2. Step 2: Convert to fraction form
    163,736.44/249,978.66 = 249,978.66/x
  3. Step 3: Cross multiply
    163,736.44x = 249,978.66 × 249,978.66
  4. Step 4: Simplify right side
    163,736.44x = 62,489,328,580.56
  5. Step 5: Solve for x
    x = 62,489,328,580.56/163,736.44
  6. Step 6: Final answer
    x = 381,645.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.