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Finding the Third Proportional to 173,055 and 253,012

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Solution

The third proportional to 173,055 and 253,012 is: 369,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,055 : 253,012 = 253,012 : x
  2. Step 2: Convert to fraction form
    173,055/253,012 = 253,012/x
  3. Step 3: Cross multiply
    173,055x = 253,012 × 253,012
  4. Step 4: Simplify right side
    173,055x = 64,015,072,144
  5. Step 5: Solve for x
    x = 64,015,072,144/173,055
  6. Step 6: Final answer
    x = 369,911.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.