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Finding the Third Proportional to 164,926.13 and 361,396.69

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Solution

The third proportional to 164,926.13 and 361,396.69 is: 791,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,926.13 : 361,396.69 = 361,396.69 : x
  2. Step 2: Convert to fraction form
    164,926.13/361,396.69 = 361,396.69/x
  3. Step 3: Cross multiply
    164,926.13x = 361,396.69 × 361,396.69
  4. Step 4: Simplify right side
    164,926.13x = 130,607,565,735.97
  5. Step 5: Solve for x
    x = 130,607,565,735.97/164,926.13
  6. Step 6: Final answer
    x = 791,915.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.