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Finding the Third Proportional to 157,504 and 336,864

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Solution

The third proportional to 157,504 and 336,864 is: 720,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,504 : 336,864 = 336,864 : x
  2. Step 2: Convert to fraction form
    157,504/336,864 = 336,864/x
  3. Step 3: Cross multiply
    157,504x = 336,864 × 336,864
  4. Step 4: Simplify right side
    157,504x = 113,477,354,496
  5. Step 5: Solve for x
    x = 113,477,354,496/157,504
  6. Step 6: Final answer
    x = 720,472.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.