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Finding the Third Proportional to 137,559.75 and 301,858.88

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Solution

The third proportional to 137,559.75 and 301,858.88 is: 662,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,559.75 : 301,858.88 = 301,858.88 : x
  2. Step 2: Convert to fraction form
    137,559.75/301,858.88 = 301,858.88/x
  3. Step 3: Cross multiply
    137,559.75x = 301,858.88 × 301,858.88
  4. Step 4: Simplify right side
    137,559.75x = 91,118,780,416.27
  5. Step 5: Solve for x
    x = 91,118,780,416.27/137,559.75
  6. Step 6: Final answer
    x = 662,394.20

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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.