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Finding the Third Proportional to 172,292 and 264,754

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Solution

The third proportional to 172,292 and 264,754 is: 406,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,292 : 264,754 = 264,754 : x
  2. Step 2: Convert to fraction form
    172,292/264,754 = 264,754/x
  3. Step 3: Cross multiply
    172,292x = 264,754 × 264,754
  4. Step 4: Simplify right side
    172,292x = 70,094,680,516
  5. Step 5: Solve for x
    x = 70,094,680,516/172,292
  6. Step 6: Final answer
    x = 406,836.54

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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.