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Finding the Third Proportional to 149,634 and 323,005.50

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Solution

The third proportional to 149,634 and 323,005.50 is: 697,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,634 : 323,005.50 = 323,005.50 : x
  2. Step 2: Convert to fraction form
    149,634/323,005.50 = 323,005.50/x
  3. Step 3: Cross multiply
    149,634x = 323,005.50 × 323,005.50
  4. Step 4: Simplify right side
    149,634x = 104,332,553,030.25
  5. Step 5: Solve for x
    x = 104,332,553,030.25/149,634
  6. Step 6: Final answer
    x = 697,251.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.