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Finding the Third Proportional to 202,064.63 and 294,212.25

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Solution

The third proportional to 202,064.63 and 294,212.25 is: 428,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,064.63 : 294,212.25 = 294,212.25 : x
  2. Step 2: Convert to fraction form
    202,064.63/294,212.25 = 294,212.25/x
  3. Step 3: Cross multiply
    202,064.63x = 294,212.25 × 294,212.25
  4. Step 4: Simplify right side
    202,064.63x = 86,560,848,050.06
  5. Step 5: Solve for x
    x = 86,560,848,050.06/202,064.63
  6. Step 6: Final answer
    x = 428,382.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.