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Finding the Third Proportional to 177,656 and 273,345.75

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Solution

The third proportional to 177,656 and 273,345.75 is: 420,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,656 : 273,345.75 = 273,345.75 : x
  2. Step 2: Convert to fraction form
    177,656/273,345.75 = 273,345.75/x
  3. Step 3: Cross multiply
    177,656x = 273,345.75 × 273,345.75
  4. Step 4: Simplify right side
    177,656x = 74,717,899,043.06
  5. Step 5: Solve for x
    x = 74,717,899,043.06/177,656
  6. Step 6: Final answer
    x = 420,576.28

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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.