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Finding the Third Proportional to 135,869.63 and 295,113.38

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Solution

The third proportional to 135,869.63 and 295,113.38 is: 640,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,869.63 : 295,113.38 = 295,113.38 : x
  2. Step 2: Convert to fraction form
    135,869.63/295,113.38 = 295,113.38/x
  3. Step 3: Cross multiply
    135,869.63x = 295,113.38 × 295,113.38
  4. Step 4: Simplify right side
    135,869.63x = 87,091,904,103.89
  5. Step 5: Solve for x
    x = 87,091,904,103.89/135,869.63
  6. Step 6: Final answer
    x = 640,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.