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Finding the Third Proportional to 161,056 and 236,036

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Solution

The third proportional to 161,056 and 236,036 is: 345,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,056 : 236,036 = 236,036 : x
  2. Step 2: Convert to fraction form
    161,056/236,036 = 236,036/x
  3. Step 3: Cross multiply
    161,056x = 236,036 × 236,036
  4. Step 4: Simplify right side
    161,056x = 55,712,993,296
  5. Step 5: Solve for x
    x = 55,712,993,296/161,056
  6. Step 6: Final answer
    x = 345,923.12

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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.