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Finding the Third Proportional to 100,364 and 151,397

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Solution

The third proportional to 100,364 and 151,397 is: 228,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364 : 151,397 = 151,397 : x
  2. Step 2: Convert to fraction form
    100,364/151,397 = 151,397/x
  3. Step 3: Cross multiply
    100,364x = 151,397 × 151,397
  4. Step 4: Simplify right side
    100,364x = 22,921,051,609
  5. Step 5: Solve for x
    x = 22,921,051,609/100,364
  6. Step 6: Final answer
    x = 228,379.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.