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Finding the Third Proportional to 235,121 and 363,270

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Solution

The third proportional to 235,121 and 363,270 is: 561,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,121 : 363,270 = 363,270 : x
  2. Step 2: Convert to fraction form
    235,121/363,270 = 363,270/x
  3. Step 3: Cross multiply
    235,121x = 363,270 × 363,270
  4. Step 4: Simplify right side
    235,121x = 131,965,092,900
  5. Step 5: Solve for x
    x = 131,965,092,900/235,121
  6. Step 6: Final answer
    x = 561,264.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.