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Finding the Third Proportional to 135,826.80 and 295,007.93

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Solution

The third proportional to 135,826.80 and 295,007.93 is: 640,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,826.80 : 295,007.93 = 295,007.93 : x
  2. Step 2: Convert to fraction form
    135,826.80/295,007.93 = 295,007.93/x
  3. Step 3: Cross multiply
    135,826.80x = 295,007.93 × 295,007.93
  4. Step 4: Simplify right side
    135,826.80x = 87,029,680,307.06
  5. Step 5: Solve for x
    x = 87,029,680,307.06/135,826.80
  6. Step 6: Final answer
    x = 640,740.14

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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.