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Finding the Third Proportional to 137,574.07 and 301,202.30

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Solution

The third proportional to 137,574.07 and 301,202.30 is: 659,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,574.07 : 301,202.30 = 301,202.30 : x
  2. Step 2: Convert to fraction form
    137,574.07/301,202.30 = 301,202.30/x
  3. Step 3: Cross multiply
    137,574.07x = 301,202.30 × 301,202.30
  4. Step 4: Simplify right side
    137,574.07x = 90,722,823,642.78
  5. Step 5: Solve for x
    x = 90,722,823,642.78/137,574.07
  6. Step 6: Final answer
    x = 659,447.11

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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.