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Finding the Third Proportional to 174,472 and 276,726

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Solution

The third proportional to 174,472 and 276,726 is: 438,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,472 : 276,726 = 276,726 : x
  2. Step 2: Convert to fraction form
    174,472/276,726 = 276,726/x
  3. Step 3: Cross multiply
    174,472x = 276,726 × 276,726
  4. Step 4: Simplify right side
    174,472x = 76,577,279,076
  5. Step 5: Solve for x
    x = 76,577,279,076/174,472
  6. Step 6: Final answer
    x = 438,908.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.