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Finding the Third Proportional to 157,738 and 236,363

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Solution

The third proportional to 157,738 and 236,363 is: 354,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,738 : 236,363 = 236,363 : x
  2. Step 2: Convert to fraction form
    157,738/236,363 = 236,363/x
  3. Step 3: Cross multiply
    157,738x = 236,363 × 236,363
  4. Step 4: Simplify right side
    157,738x = 55,867,467,769
  5. Step 5: Solve for x
    x = 55,867,467,769/157,738
  6. Step 6: Final answer
    x = 354,178.88

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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.