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Finding the Third Proportional to 159,698 and 376,385

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Solution

The third proportional to 159,698 and 376,385 is: 887,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,698 : 376,385 = 376,385 : x
  2. Step 2: Convert to fraction form
    159,698/376,385 = 376,385/x
  3. Step 3: Cross multiply
    159,698x = 376,385 × 376,385
  4. Step 4: Simplify right side
    159,698x = 141,665,668,225
  5. Step 5: Solve for x
    x = 141,665,668,225/159,698
  6. Step 6: Final answer
    x = 887,084.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.