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Finding the Third Proportional to 173,102.25 and 273,869.25

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Solution

The third proportional to 173,102.25 and 273,869.25 is: 433,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,102.25 : 273,869.25 = 273,869.25 : x
  2. Step 2: Convert to fraction form
    173,102.25/273,869.25 = 273,869.25/x
  3. Step 3: Cross multiply
    173,102.25x = 273,869.25 × 273,869.25
  4. Step 4: Simplify right side
    173,102.25x = 75,004,366,095.56
  5. Step 5: Solve for x
    x = 75,004,366,095.56/173,102.25
  6. Step 6: Final answer
    x = 433,295.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.