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Finding the Third Proportional to 115,653 and 181,467

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Solution

The third proportional to 115,653 and 181,467 is: 284,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,653 : 181,467 = 181,467 : x
  2. Step 2: Convert to fraction form
    115,653/181,467 = 181,467/x
  3. Step 3: Cross multiply
    115,653x = 181,467 × 181,467
  4. Step 4: Simplify right side
    115,653x = 32,930,272,089
  5. Step 5: Solve for x
    x = 32,930,272,089/115,653
  6. Step 6: Final answer
    x = 284,733.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.