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Finding the Third Proportional to 237,464.63 and 349,917.86

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Solution

The third proportional to 237,464.63 and 349,917.86 is: 515,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,464.63 : 349,917.86 = 349,917.86 : x
  2. Step 2: Convert to fraction form
    237,464.63/349,917.86 = 349,917.86/x
  3. Step 3: Cross multiply
    237,464.63x = 349,917.86 × 349,917.86
  4. Step 4: Simplify right side
    237,464.63x = 122,442,511,726.75
  5. Step 5: Solve for x
    x = 122,442,511,726.75/237,464.63
  6. Step 6: Final answer
    x = 515,624.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.