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Finding the Third Proportional to 158,605 and 233,526

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Solution

The third proportional to 158,605 and 233,526 is: 343,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,605 : 233,526 = 233,526 : x
  2. Step 2: Convert to fraction form
    158,605/233,526 = 233,526/x
  3. Step 3: Cross multiply
    158,605x = 233,526 × 233,526
  4. Step 4: Simplify right side
    158,605x = 54,534,392,676
  5. Step 5: Solve for x
    x = 54,534,392,676/158,605
  6. Step 6: Final answer
    x = 343,837.79

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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.