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Finding the Third Proportional to 218,322.94 and 347,167.50

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Solution

The third proportional to 218,322.94 and 347,167.50 is: 552,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322.94 : 347,167.50 = 347,167.50 : x
  2. Step 2: Convert to fraction form
    218,322.94/347,167.50 = 347,167.50/x
  3. Step 3: Cross multiply
    218,322.94x = 347,167.50 × 347,167.50
  4. Step 4: Simplify right side
    218,322.94x = 120,525,273,056.25
  5. Step 5: Solve for x
    x = 120,525,273,056.25/218,322.94
  6. Step 6: Final answer
    x = 552,050.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.