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Finding the Third Proportional to 158,238 and 226,118.25

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Solution

The third proportional to 158,238 and 226,118.25 is: 323,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,238 : 226,118.25 = 226,118.25 : x
  2. Step 2: Convert to fraction form
    158,238/226,118.25 = 226,118.25/x
  3. Step 3: Cross multiply
    158,238x = 226,118.25 × 226,118.25
  4. Step 4: Simplify right side
    158,238x = 51,129,462,983.06
  5. Step 5: Solve for x
    x = 51,129,462,983.06/158,238
  6. Step 6: Final answer
    x = 323,117.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.