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Finding the Third Proportional to 157,521 and 341,286

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Solution

The third proportional to 157,521 and 341,286 is: 739,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,521 : 341,286 = 341,286 : x
  2. Step 2: Convert to fraction form
    157,521/341,286 = 341,286/x
  3. Step 3: Cross multiply
    157,521x = 341,286 × 341,286
  4. Step 4: Simplify right side
    157,521x = 116,476,133,796
  5. Step 5: Solve for x
    x = 116,476,133,796/157,521
  6. Step 6: Final answer
    x = 739,432.42

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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.