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Finding the Third Proportional to 163,614.94 and 223,894.13

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Solution

The third proportional to 163,614.94 and 223,894.13 is: 306,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,614.94 : 223,894.13 = 223,894.13 : x
  2. Step 2: Convert to fraction form
    163,614.94/223,894.13 = 223,894.13/x
  3. Step 3: Cross multiply
    163,614.94x = 223,894.13 × 223,894.13
  4. Step 4: Simplify right side
    163,614.94x = 50,128,579,209.52
  5. Step 5: Solve for x
    x = 50,128,579,209.52/163,614.94
  6. Step 6: Final answer
    x = 306,381.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.