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Finding the Third Proportional to 192,026 and 258,507

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Solution

The third proportional to 192,026 and 258,507 is: 348,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,026 : 258,507 = 258,507 : x
  2. Step 2: Convert to fraction form
    192,026/258,507 = 258,507/x
  3. Step 3: Cross multiply
    192,026x = 258,507 × 258,507
  4. Step 4: Simplify right side
    192,026x = 66,825,869,049
  5. Step 5: Solve for x
    x = 66,825,869,049/192,026
  6. Step 6: Final answer
    x = 348,004.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.