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Finding the Third Proportional to 179,208 and 264,726

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Solution

The third proportional to 179,208 and 264,726 is: 391,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,208 : 264,726 = 264,726 : x
  2. Step 2: Convert to fraction form
    179,208/264,726 = 264,726/x
  3. Step 3: Cross multiply
    179,208x = 264,726 × 264,726
  4. Step 4: Simplify right side
    179,208x = 70,079,855,076
  5. Step 5: Solve for x
    x = 70,079,855,076/179,208
  6. Step 6: Final answer
    x = 391,053.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.