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Finding the Third Proportional to 157,364 and 336,816

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Solution

The third proportional to 157,364 and 336,816 is: 720,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364 : 336,816 = 336,816 : x
  2. Step 2: Convert to fraction form
    157,364/336,816 = 336,816/x
  3. Step 3: Cross multiply
    157,364x = 336,816 × 336,816
  4. Step 4: Simplify right side
    157,364x = 113,445,017,856
  5. Step 5: Solve for x
    x = 113,445,017,856/157,364
  6. Step 6: Final answer
    x = 720,908.33

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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.