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Finding the Third Proportional to 172,082 and 265,827

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Solution

The third proportional to 172,082 and 265,827 is: 410,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082 : 265,827 = 265,827 : x
  2. Step 2: Convert to fraction form
    172,082/265,827 = 265,827/x
  3. Step 3: Cross multiply
    172,082x = 265,827 × 265,827
  4. Step 4: Simplify right side
    172,082x = 70,663,993,929
  5. Step 5: Solve for x
    x = 70,663,993,929/172,082
  6. Step 6: Final answer
    x = 410,641.40

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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.