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Finding the Third Proportional to 135,636.40 and 294,623.58

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Solution

The third proportional to 135,636.40 and 294,623.58 is: 639,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,636.40 : 294,623.58 = 294,623.58 : x
  2. Step 2: Convert to fraction form
    135,636.40/294,623.58 = 294,623.58/x
  3. Step 3: Cross multiply
    135,636.40x = 294,623.58 × 294,623.58
  4. Step 4: Simplify right side
    135,636.40x = 86,803,052,787.18
  5. Step 5: Solve for x
    x = 86,803,052,787.18/135,636.40
  6. Step 6: Final answer
    x = 639,968.72

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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.