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Finding the Third Proportional to 136,913.63 and 294,063.75

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Solution

The third proportional to 136,913.63 and 294,063.75 is: 631,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,913.63 : 294,063.75 = 294,063.75 : x
  2. Step 2: Convert to fraction form
    136,913.63/294,063.75 = 294,063.75/x
  3. Step 3: Cross multiply
    136,913.63x = 294,063.75 × 294,063.75
  4. Step 4: Simplify right side
    136,913.63x = 86,473,489,064.06
  5. Step 5: Solve for x
    x = 86,473,489,064.06/136,913.63
  6. Step 6: Final answer
    x = 631,591.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.