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Finding the Third Proportional to 157,260 and 236,754

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Solution

The third proportional to 157,260 and 236,754 is: 356,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,260 : 236,754 = 236,754 : x
  2. Step 2: Convert to fraction form
    157,260/236,754 = 236,754/x
  3. Step 3: Cross multiply
    157,260x = 236,754 × 236,754
  4. Step 4: Simplify right side
    157,260x = 56,052,456,516
  5. Step 5: Solve for x
    x = 56,052,456,516/157,260
  6. Step 6: Final answer
    x = 356,431.75

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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.