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Finding the Third Proportional to 135,025 and 295,475

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Solution

The third proportional to 135,025 and 295,475 is: 646,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,025 : 295,475 = 295,475 : x
  2. Step 2: Convert to fraction form
    135,025/295,475 = 295,475/x
  3. Step 3: Cross multiply
    135,025x = 295,475 × 295,475
  4. Step 4: Simplify right side
    135,025x = 87,305,475,625
  5. Step 5: Solve for x
    x = 87,305,475,625/135,025
  6. Step 6: Final answer
    x = 646,587.49

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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.