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Finding the Third Proportional to 163,212.47 and 249,649.59

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Solution

The third proportional to 163,212.47 and 249,649.59 is: 381,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,212.47 : 249,649.59 = 249,649.59 : x
  2. Step 2: Convert to fraction form
    163,212.47/249,649.59 = 249,649.59/x
  3. Step 3: Cross multiply
    163,212.47x = 249,649.59 × 249,649.59
  4. Step 4: Simplify right side
    163,212.47x = 62,324,919,659.54
  5. Step 5: Solve for x
    x = 62,324,919,659.54/163,212.47
  6. Step 6: Final answer
    x = 381,863.72

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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.