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Finding the Third Proportional to 229,189 and 344,216

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Solution

The third proportional to 229,189 and 344,216 is: 516,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,189 : 344,216 = 344,216 : x
  2. Step 2: Convert to fraction form
    229,189/344,216 = 344,216/x
  3. Step 3: Cross multiply
    229,189x = 344,216 × 344,216
  4. Step 4: Simplify right side
    229,189x = 118,484,654,656
  5. Step 5: Solve for x
    x = 118,484,654,656/229,189
  6. Step 6: Final answer
    x = 516,973.57

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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.