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Finding the Third Proportional to 137,620.13 and 301,466.25

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Solution

The third proportional to 137,620.13 and 301,466.25 is: 660,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620.13 : 301,466.25 = 301,466.25 : x
  2. Step 2: Convert to fraction form
    137,620.13/301,466.25 = 301,466.25/x
  3. Step 3: Cross multiply
    137,620.13x = 301,466.25 × 301,466.25
  4. Step 4: Simplify right side
    137,620.13x = 90,881,899,889.06
  5. Step 5: Solve for x
    x = 90,881,899,889.06/137,620.13
  6. Step 6: Final answer
    x = 660,382.34

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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.