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Finding the Third Proportional to 163,147 and 335,078

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Solution

The third proportional to 163,147 and 335,078 is: 688,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,147 : 335,078 = 335,078 : x
  2. Step 2: Convert to fraction form
    163,147/335,078 = 335,078/x
  3. Step 3: Cross multiply
    163,147x = 335,078 × 335,078
  4. Step 4: Simplify right side
    163,147x = 112,277,266,084
  5. Step 5: Solve for x
    x = 112,277,266,084/163,147
  6. Step 6: Final answer
    x = 688,196.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.