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Finding the Third Proportional to 96,338 and 151,323

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Solution

The third proportional to 96,338 and 151,323 is: 237,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,338 : 151,323 = 151,323 : x
  2. Step 2: Convert to fraction form
    96,338/151,323 = 151,323/x
  3. Step 3: Cross multiply
    96,338x = 151,323 × 151,323
  4. Step 4: Simplify right side
    96,338x = 22,898,650,329
  5. Step 5: Solve for x
    x = 22,898,650,329/96,338
  6. Step 6: Final answer
    x = 237,690.74

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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.