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Finding the Third Proportional to 157,896 and 236,364

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Solution

The third proportional to 157,896 and 236,364 is: 353,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896 : 236,364 = 236,364 : x
  2. Step 2: Convert to fraction form
    157,896/236,364 = 236,364/x
  3. Step 3: Cross multiply
    157,896x = 236,364 × 236,364
  4. Step 4: Simplify right side
    157,896x = 55,867,940,496
  5. Step 5: Solve for x
    x = 55,867,940,496/157,896
  6. Step 6: Final answer
    x = 353,827.46

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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.