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Finding the Third Proportional to 157,037 and 236,419

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Solution

The third proportional to 157,037 and 236,419 is: 355,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,037 : 236,419 = 236,419 : x
  2. Step 2: Convert to fraction form
    157,037/236,419 = 236,419/x
  3. Step 3: Cross multiply
    157,037x = 236,419 × 236,419
  4. Step 4: Simplify right side
    157,037x = 55,893,943,561
  5. Step 5: Solve for x
    x = 55,893,943,561/157,037
  6. Step 6: Final answer
    x = 355,928.50

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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.