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Finding the Third Proportional to 157,844 and 234,366

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Solution

The third proportional to 157,844 and 234,366 is: 347,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,844 : 234,366 = 234,366 : x
  2. Step 2: Convert to fraction form
    157,844/234,366 = 234,366/x
  3. Step 3: Cross multiply
    157,844x = 234,366 × 234,366
  4. Step 4: Simplify right side
    157,844x = 54,927,421,956
  5. Step 5: Solve for x
    x = 54,927,421,956/157,844
  6. Step 6: Final answer
    x = 347,985.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.