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Finding the Third Proportional to 164,463.75 and 360,336.94

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Solution

The third proportional to 164,463.75 and 360,336.94 is: 789,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,463.75 : 360,336.94 = 360,336.94 : x
  2. Step 2: Convert to fraction form
    164,463.75/360,336.94 = 360,336.94/x
  3. Step 3: Cross multiply
    164,463.75x = 360,336.94 × 360,336.94
  4. Step 4: Simplify right side
    164,463.75x = 129,842,708,526.88
  5. Step 5: Solve for x
    x = 129,842,708,526.88/164,463.75
  6. Step 6: Final answer
    x = 789,491.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.