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Finding the Third Proportional to 172,345 and 258,699

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Solution

The third proportional to 172,345 and 258,699 is: 388,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,345 : 258,699 = 258,699 : x
  2. Step 2: Convert to fraction form
    172,345/258,699 = 258,699/x
  3. Step 3: Cross multiply
    172,345x = 258,699 × 258,699
  4. Step 4: Simplify right side
    172,345x = 66,925,172,601
  5. Step 5: Solve for x
    x = 66,925,172,601/172,345
  6. Step 6: Final answer
    x = 388,320.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.