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Finding the Third Proportional to 160,837 and 236,575

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Solution

The third proportional to 160,837 and 236,575 is: 347,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,837 : 236,575 = 236,575 : x
  2. Step 2: Convert to fraction form
    160,837/236,575 = 236,575/x
  3. Step 3: Cross multiply
    160,837x = 236,575 × 236,575
  4. Step 4: Simplify right side
    160,837x = 55,967,730,625
  5. Step 5: Solve for x
    x = 55,967,730,625/160,837
  6. Step 6: Final answer
    x = 347,977.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.