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Finding the Third Proportional to 157,935 and 341,157

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Solution

The third proportional to 157,935 and 341,157 is: 736,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,935 : 341,157 = 341,157 : x
  2. Step 2: Convert to fraction form
    157,935/341,157 = 341,157/x
  3. Step 3: Cross multiply
    157,935x = 341,157 × 341,157
  4. Step 4: Simplify right side
    157,935x = 116,388,098,649
  5. Step 5: Solve for x
    x = 116,388,098,649/157,935
  6. Step 6: Final answer
    x = 736,936.71

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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.