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Finding the Third Proportional to 160,785 and 236,529

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Solution

The third proportional to 160,785 and 236,529 is: 347,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,785 : 236,529 = 236,529 : x
  2. Step 2: Convert to fraction form
    160,785/236,529 = 236,529/x
  3. Step 3: Cross multiply
    160,785x = 236,529 × 236,529
  4. Step 4: Simplify right side
    160,785x = 55,945,967,841
  5. Step 5: Solve for x
    x = 55,945,967,841/160,785
  6. Step 6: Final answer
    x = 347,955.14

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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.