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Finding the Third Proportional to 135,016 and 295,459

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Solution

The third proportional to 135,016 and 295,459 is: 646,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,016 : 295,459 = 295,459 : x
  2. Step 2: Convert to fraction form
    135,016/295,459 = 295,459/x
  3. Step 3: Cross multiply
    135,016x = 295,459 × 295,459
  4. Step 4: Simplify right side
    135,016x = 87,296,020,681
  5. Step 5: Solve for x
    x = 87,296,020,681/135,016
  6. Step 6: Final answer
    x = 646,560.56

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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.