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Finding the Third Proportional to 167,092 and 258,553

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Solution

The third proportional to 167,092 and 258,553 is: 400,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,092 : 258,553 = 258,553 : x
  2. Step 2: Convert to fraction form
    167,092/258,553 = 258,553/x
  3. Step 3: Cross multiply
    167,092x = 258,553 × 258,553
  4. Step 4: Simplify right side
    167,092x = 66,849,653,809
  5. Step 5: Solve for x
    x = 66,849,653,809/167,092
  6. Step 6: Final answer
    x = 400,076.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.