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Finding the Third Proportional to 235,119 and 363,267

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Solution

The third proportional to 235,119 and 363,267 is: 561,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,119 : 363,267 = 363,267 : x
  2. Step 2: Convert to fraction form
    235,119/363,267 = 363,267/x
  3. Step 3: Cross multiply
    235,119x = 363,267 × 363,267
  4. Step 4: Simplify right side
    235,119x = 131,962,913,289
  5. Step 5: Solve for x
    x = 131,962,913,289/235,119
  6. Step 6: Final answer
    x = 561,260.10

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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.