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Finding the Third Proportional to 242,161 and 377,958

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Solution

The third proportional to 242,161 and 377,958 is: 589,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,161 : 377,958 = 377,958 : x
  2. Step 2: Convert to fraction form
    242,161/377,958 = 377,958/x
  3. Step 3: Cross multiply
    242,161x = 377,958 × 377,958
  4. Step 4: Simplify right side
    242,161x = 142,852,249,764
  5. Step 5: Solve for x
    x = 142,852,249,764/242,161
  6. Step 6: Final answer
    x = 589,906.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.