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Finding the Third Proportional to 137,210 and 300,654

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Solution

The third proportional to 137,210 and 300,654 is: 658,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210 : 300,654 = 300,654 : x
  2. Step 2: Convert to fraction form
    137,210/300,654 = 300,654/x
  3. Step 3: Cross multiply
    137,210x = 300,654 × 300,654
  4. Step 4: Simplify right side
    137,210x = 90,392,827,716
  5. Step 5: Solve for x
    x = 90,392,827,716/137,210
  6. Step 6: Final answer
    x = 658,791.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.