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Finding the Third Proportional to 155,808 and 341,100

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Solution

The third proportional to 155,808 and 341,100 is: 746,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,808 : 341,100 = 341,100 : x
  2. Step 2: Convert to fraction form
    155,808/341,100 = 341,100/x
  3. Step 3: Cross multiply
    155,808x = 341,100 × 341,100
  4. Step 4: Simplify right side
    155,808x = 116,349,210,000
  5. Step 5: Solve for x
    x = 116,349,210,000/155,808
  6. Step 6: Final answer
    x = 746,747.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.