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Finding the Third Proportional to 174,868.88 and 221,823.56

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Solution

The third proportional to 174,868.88 and 221,823.56 is: 281,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,868.88 : 221,823.56 = 221,823.56 : x
  2. Step 2: Convert to fraction form
    174,868.88/221,823.56 = 221,823.56/x
  3. Step 3: Cross multiply
    174,868.88x = 221,823.56 × 221,823.56
  4. Step 4: Simplify right side
    174,868.88x = 49,205,692,880.19
  5. Step 5: Solve for x
    x = 49,205,692,880.19/174,868.88
  6. Step 6: Final answer
    x = 281,386.23

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.