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Finding the Third Proportional to 234,094 and 354,540

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Solution

The third proportional to 234,094 and 354,540 is: 536,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,094 : 354,540 = 354,540 : x
  2. Step 2: Convert to fraction form
    234,094/354,540 = 354,540/x
  3. Step 3: Cross multiply
    234,094x = 354,540 × 354,540
  4. Step 4: Simplify right side
    234,094x = 125,698,611,600
  5. Step 5: Solve for x
    x = 125,698,611,600/234,094
  6. Step 6: Final answer
    x = 536,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.