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Finding the Third Proportional to 157,692 and 341,631

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Solution

The third proportional to 157,692 and 341,631 is: 740,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,692 : 341,631 = 341,631 : x
  2. Step 2: Convert to fraction form
    157,692/341,631 = 341,631/x
  3. Step 3: Cross multiply
    157,692x = 341,631 × 341,631
  4. Step 4: Simplify right side
    157,692x = 116,711,740,161
  5. Step 5: Solve for x
    x = 116,711,740,161/157,692
  6. Step 6: Final answer
    x = 740,124.67

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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.