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Finding the Third Proportional to 115,448 and 177,333

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Solution

The third proportional to 115,448 and 177,333 is: 272,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,448 : 177,333 = 177,333 : x
  2. Step 2: Convert to fraction form
    115,448/177,333 = 177,333/x
  3. Step 3: Cross multiply
    115,448x = 177,333 × 177,333
  4. Step 4: Simplify right side
    115,448x = 31,446,992,889
  5. Step 5: Solve for x
    x = 31,446,992,889/115,448
  6. Step 6: Final answer
    x = 272,390.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.