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Finding the Third Proportional to 137,590.13 and 295,525.88

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Solution

The third proportional to 137,590.13 and 295,525.88 is: 634,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590.13 : 295,525.88 = 295,525.88 : x
  2. Step 2: Convert to fraction form
    137,590.13/295,525.88 = 295,525.88/x
  3. Step 3: Cross multiply
    137,590.13x = 295,525.88 × 295,525.88
  4. Step 4: Simplify right side
    137,590.13x = 87,335,542,794.52
  5. Step 5: Solve for x
    x = 87,335,542,794.52/137,590.13
  6. Step 6: Final answer
    x = 634,751.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.