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Finding the Third Proportional to 248,286 and 363,838.50

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Solution

The third proportional to 248,286 and 363,838.50 is: 533,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,286 : 363,838.50 = 363,838.50 : x
  2. Step 2: Convert to fraction form
    248,286/363,838.50 = 363,838.50/x
  3. Step 3: Cross multiply
    248,286x = 363,838.50 × 363,838.50
  4. Step 4: Simplify right side
    248,286x = 132,378,454,082.25
  5. Step 5: Solve for x
    x = 132,378,454,082.25/248,286
  6. Step 6: Final answer
    x = 533,169.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.