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Finding the Third Proportional to 163,812.38 and 359,744.63

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Solution

The third proportional to 163,812.38 and 359,744.63 is: 790,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,812.38 : 359,744.63 = 359,744.63 : x
  2. Step 2: Convert to fraction form
    163,812.38/359,744.63 = 359,744.63/x
  3. Step 3: Cross multiply
    163,812.38x = 359,744.63 × 359,744.63
  4. Step 4: Simplify right side
    163,812.38x = 129,416,195,216.39
  5. Step 5: Solve for x
    x = 129,416,195,216.39/163,812.38
  6. Step 6: Final answer
    x = 790,026.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.