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Finding the Third Proportional to 157,875 and 338,268

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Solution

The third proportional to 157,875 and 338,268 is: 724,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875 : 338,268 = 338,268 : x
  2. Step 2: Convert to fraction form
    157,875/338,268 = 338,268/x
  3. Step 3: Cross multiply
    157,875x = 338,268 × 338,268
  4. Step 4: Simplify right side
    157,875x = 114,425,239,824
  5. Step 5: Solve for x
    x = 114,425,239,824/157,875
  6. Step 6: Final answer
    x = 724,783.78

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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.