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Finding the Third Proportional to 229,187 and 344,213

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Solution

The third proportional to 229,187 and 344,213 is: 516,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,187 : 344,213 = 344,213 : x
  2. Step 2: Convert to fraction form
    229,187/344,213 = 344,213/x
  3. Step 3: Cross multiply
    229,187x = 344,213 × 344,213
  4. Step 4: Simplify right side
    229,187x = 118,482,589,369
  5. Step 5: Solve for x
    x = 118,482,589,369/229,187
  6. Step 6: Final answer
    x = 516,969.07

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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.