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Finding the Third Proportional to 155,551 and 341,356

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Solution

The third proportional to 155,551 and 341,356 is: 749,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,551 : 341,356 = 341,356 : x
  2. Step 2: Convert to fraction form
    155,551/341,356 = 341,356/x
  3. Step 3: Cross multiply
    155,551x = 341,356 × 341,356
  4. Step 4: Simplify right side
    155,551x = 116,523,918,736
  5. Step 5: Solve for x
    x = 116,523,918,736/155,551
  6. Step 6: Final answer
    x = 749,104.27

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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.