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Finding the Third Proportional to 155,466 and 335,745

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Solution

The third proportional to 155,466 and 335,745 is: 725,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,466 : 335,745 = 335,745 : x
  2. Step 2: Convert to fraction form
    155,466/335,745 = 335,745/x
  3. Step 3: Cross multiply
    155,466x = 335,745 × 335,745
  4. Step 4: Simplify right side
    155,466x = 112,724,705,025
  5. Step 5: Solve for x
    x = 112,724,705,025/155,466
  6. Step 6: Final answer
    x = 725,076.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.