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Finding the Third Proportional to 137,355.94 and 294,423.56

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Solution

The third proportional to 137,355.94 and 294,423.56 is: 631,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355.94 : 294,423.56 = 294,423.56 : x
  2. Step 2: Convert to fraction form
    137,355.94/294,423.56 = 294,423.56/x
  3. Step 3: Cross multiply
    137,355.94x = 294,423.56 × 294,423.56
  4. Step 4: Simplify right side
    137,355.94x = 86,685,234,155.19
  5. Step 5: Solve for x
    x = 86,685,234,155.19/137,355.94
  6. Step 6: Final answer
    x = 631,099.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.