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Finding the Third Proportional to 163,113.75 and 359,338.50

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Solution

The third proportional to 163,113.75 and 359,338.50 is: 791,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,113.75 : 359,338.50 = 359,338.50 : x
  2. Step 2: Convert to fraction form
    163,113.75/359,338.50 = 359,338.50/x
  3. Step 3: Cross multiply
    163,113.75x = 359,338.50 × 359,338.50
  4. Step 4: Simplify right side
    163,113.75x = 129,124,157,582.25
  5. Step 5: Solve for x
    x = 129,124,157,582.25/163,113.75
  6. Step 6: Final answer
    x = 791,620.31

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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.