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Finding the Third Proportional to 159,588 and 236,292

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Solution

The third proportional to 159,588 and 236,292 is: 349,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588 : 236,292 = 236,292 : x
  2. Step 2: Convert to fraction form
    159,588/236,292 = 236,292/x
  3. Step 3: Cross multiply
    159,588x = 236,292 × 236,292
  4. Step 4: Simplify right side
    159,588x = 55,833,909,264
  5. Step 5: Solve for x
    x = 55,833,909,264/159,588
  6. Step 6: Final answer
    x = 349,862.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.