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Finding the Third Proportional to 158,754 and 238,110

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Solution

The third proportional to 158,754 and 238,110 is: 357,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,754 : 238,110 = 238,110 : x
  2. Step 2: Convert to fraction form
    158,754/238,110 = 238,110/x
  3. Step 3: Cross multiply
    158,754x = 238,110 × 238,110
  4. Step 4: Simplify right side
    158,754x = 56,696,372,100
  5. Step 5: Solve for x
    x = 56,696,372,100/158,754
  6. Step 6: Final answer
    x = 357,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.