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Finding the Third Proportional to 157,914 and 238,754

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Solution

The third proportional to 157,914 and 238,754 is: 360,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,914 : 238,754 = 238,754 : x
  2. Step 2: Convert to fraction form
    157,914/238,754 = 238,754/x
  3. Step 3: Cross multiply
    157,914x = 238,754 × 238,754
  4. Step 4: Simplify right side
    157,914x = 57,003,472,516
  5. Step 5: Solve for x
    x = 57,003,472,516/157,914
  6. Step 6: Final answer
    x = 360,977.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.