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Finding the Third Proportional to 157,591 and 341,438

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Solution

The third proportional to 157,591 and 341,438 is: 739,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,591 : 341,438 = 341,438 : x
  2. Step 2: Convert to fraction form
    157,591/341,438 = 341,438/x
  3. Step 3: Cross multiply
    157,591x = 341,438 × 341,438
  4. Step 4: Simplify right side
    157,591x = 116,579,907,844
  5. Step 5: Solve for x
    x = 116,579,907,844/157,591
  6. Step 6: Final answer
    x = 739,762.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.