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Finding the Third Proportional to 157,966 and 341,217

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Solution

The third proportional to 157,966 and 341,217 is: 737,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,966 : 341,217 = 341,217 : x
  2. Step 2: Convert to fraction form
    157,966/341,217 = 341,217/x
  3. Step 3: Cross multiply
    157,966x = 341,217 × 341,217
  4. Step 4: Simplify right side
    157,966x = 116,429,041,089
  5. Step 5: Solve for x
    x = 116,429,041,089/157,966
  6. Step 6: Final answer
    x = 737,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.