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Finding the Third Proportional to 172,624 and 264,973

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Solution

The third proportional to 172,624 and 264,973 is: 406,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,624 : 264,973 = 264,973 : x
  2. Step 2: Convert to fraction form
    172,624/264,973 = 264,973/x
  3. Step 3: Cross multiply
    172,624x = 264,973 × 264,973
  4. Step 4: Simplify right side
    172,624x = 70,210,690,729
  5. Step 5: Solve for x
    x = 70,210,690,729/172,624
  6. Step 6: Final answer
    x = 406,726.13

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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.