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Finding the Third Proportional to 229,189.50 and 344,216.25

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Solution

The third proportional to 229,189.50 and 344,216.25 is: 516,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,189.50 : 344,216.25 = 344,216.25 : x
  2. Step 2: Convert to fraction form
    229,189.50/344,216.25 = 344,216.25/x
  3. Step 3: Cross multiply
    229,189.50x = 344,216.25 × 344,216.25
  4. Step 4: Simplify right side
    229,189.50x = 118,484,826,764.06
  5. Step 5: Solve for x
    x = 118,484,826,764.06/229,189.50
  6. Step 6: Final answer
    x = 516,973.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.