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Finding the Third Proportional to 134,310.09 and 294,453.84

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Solution

The third proportional to 134,310.09 and 294,453.84 is: 645,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,310.09 : 294,453.84 = 294,453.84 : x
  2. Step 2: Convert to fraction form
    134,310.09/294,453.84 = 294,453.84/x
  3. Step 3: Cross multiply
    134,310.09x = 294,453.84 × 294,453.84
  4. Step 4: Simplify right side
    134,310.09x = 86,703,066,099.15
  5. Step 5: Solve for x
    x = 86,703,066,099.15/134,310.09
  6. Step 6: Final answer
    x = 645,543.93

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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.