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Finding the Third Proportional to 151,629 and 237,831

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Solution

The third proportional to 151,629 and 237,831 is: 373,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,629 : 237,831 = 237,831 : x
  2. Step 2: Convert to fraction form
    151,629/237,831 = 237,831/x
  3. Step 3: Cross multiply
    151,629x = 237,831 × 237,831
  4. Step 4: Simplify right side
    151,629x = 56,563,584,561
  5. Step 5: Solve for x
    x = 56,563,584,561/151,629
  6. Step 6: Final answer
    x = 373,039.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.