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Finding the Third Proportional to 163,928.25 and 221,465.25

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Solution

The third proportional to 163,928.25 and 221,465.25 is: 299,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928.25 : 221,465.25 = 221,465.25 : x
  2. Step 2: Convert to fraction form
    163,928.25/221,465.25 = 221,465.25/x
  3. Step 3: Cross multiply
    163,928.25x = 221,465.25 × 221,465.25
  4. Step 4: Simplify right side
    163,928.25x = 49,046,856,957.56
  5. Step 5: Solve for x
    x = 49,046,856,957.56/163,928.25
  6. Step 6: Final answer
    x = 299,197.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.