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Finding the Third Proportional to 242,164 and 377,965

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Solution

The third proportional to 242,164 and 377,965 is: 589,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164 : 377,965 = 377,965 : x
  2. Step 2: Convert to fraction form
    242,164/377,965 = 377,965/x
  3. Step 3: Cross multiply
    242,164x = 377,965 × 377,965
  4. Step 4: Simplify right side
    242,164x = 142,857,541,225
  5. Step 5: Solve for x
    x = 142,857,541,225/242,164
  6. Step 6: Final answer
    x = 589,920.64

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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.