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Finding the Third Proportional to 164,061.28 and 267,894.84

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Solution

The third proportional to 164,061.28 and 267,894.84 is: 437,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,061.28 : 267,894.84 = 267,894.84 : x
  2. Step 2: Convert to fraction form
    164,061.28/267,894.84 = 267,894.84/x
  3. Step 3: Cross multiply
    164,061.28x = 267,894.84 × 267,894.84
  4. Step 4: Simplify right side
    164,061.28x = 71,767,647,307.84
  5. Step 5: Solve for x
    x = 71,767,647,307.84/164,061.28
  6. Step 6: Final answer
    x = 437,444.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.