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Finding the Third Proportional to 158,608 and 233,529

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Solution

The third proportional to 158,608 and 233,529 is: 343,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608 : 233,529 = 233,529 : x
  2. Step 2: Convert to fraction form
    158,608/233,529 = 233,529/x
  3. Step 3: Cross multiply
    158,608x = 233,529 × 233,529
  4. Step 4: Simplify right side
    158,608x = 54,535,793,841
  5. Step 5: Solve for x
    x = 54,535,793,841/158,608
  6. Step 6: Final answer
    x = 343,840.12

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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.