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Finding the Third Proportional to 155,524 and 341,179

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Solution

The third proportional to 155,524 and 341,179 is: 748,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 341,179 = 341,179 : x
  2. Step 2: Convert to fraction form
    155,524/341,179 = 341,179/x
  3. Step 3: Cross multiply
    155,524x = 341,179 × 341,179
  4. Step 4: Simplify right side
    155,524x = 116,403,110,041
  5. Step 5: Solve for x
    x = 116,403,110,041/155,524
  6. Step 6: Final answer
    x = 748,457.54

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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.