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Finding the Third Proportional to 172,566 and 264,877

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Solution

The third proportional to 172,566 and 264,877 is: 406,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,566 : 264,877 = 264,877 : x
  2. Step 2: Convert to fraction form
    172,566/264,877 = 264,877/x
  3. Step 3: Cross multiply
    172,566x = 264,877 × 264,877
  4. Step 4: Simplify right side
    172,566x = 70,159,825,129
  5. Step 5: Solve for x
    x = 70,159,825,129/172,566
  6. Step 6: Final answer
    x = 406,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.