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Finding the Third Proportional to 160,252 and 237,908

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Solution

The third proportional to 160,252 and 237,908 is: 353,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,252 : 237,908 = 237,908 : x
  2. Step 2: Convert to fraction form
    160,252/237,908 = 237,908/x
  3. Step 3: Cross multiply
    160,252x = 237,908 × 237,908
  4. Step 4: Simplify right side
    160,252x = 56,600,216,464
  5. Step 5: Solve for x
    x = 56,600,216,464/160,252
  6. Step 6: Final answer
    x = 353,195.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.