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Finding the Third Proportional to 135,113 and 294,007

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Solution

The third proportional to 135,113 and 294,007 is: 639,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,113 : 294,007 = 294,007 : x
  2. Step 2: Convert to fraction form
    135,113/294,007 = 294,007/x
  3. Step 3: Cross multiply
    135,113x = 294,007 × 294,007
  4. Step 4: Simplify right side
    135,113x = 86,440,116,049
  5. Step 5: Solve for x
    x = 86,440,116,049/135,113
  6. Step 6: Final answer
    x = 639,761.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.