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Finding the Third Proportional to 225,317 and 350,909

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Solution

The third proportional to 225,317 and 350,909 is: 546,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,317 : 350,909 = 350,909 : x
  2. Step 2: Convert to fraction form
    225,317/350,909 = 350,909/x
  3. Step 3: Cross multiply
    225,317x = 350,909 × 350,909
  4. Step 4: Simplify right side
    225,317x = 123,137,126,281
  5. Step 5: Solve for x
    x = 123,137,126,281/225,317
  6. Step 6: Final answer
    x = 546,506.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.