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Finding the Third Proportional to 235,521 and 363,867

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Solution

The third proportional to 235,521 and 363,867 is: 562,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,521 : 363,867 = 363,867 : x
  2. Step 2: Convert to fraction form
    235,521/363,867 = 363,867/x
  3. Step 3: Cross multiply
    235,521x = 363,867 × 363,867
  4. Step 4: Simplify right side
    235,521x = 132,399,193,689
  5. Step 5: Solve for x
    x = 132,399,193,689/235,521
  6. Step 6: Final answer
    x = 562,154.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.