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Finding the Third Proportional to 153,536 and 361,916

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Solution

The third proportional to 153,536 and 361,916 is: 853,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,536 : 361,916 = 361,916 : x
  2. Step 2: Convert to fraction form
    153,536/361,916 = 361,916/x
  3. Step 3: Cross multiply
    153,536x = 361,916 × 361,916
  4. Step 4: Simplify right side
    153,536x = 130,983,191,056
  5. Step 5: Solve for x
    x = 130,983,191,056/153,536
  6. Step 6: Final answer
    x = 853,110.61

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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.